Cremona's table of elliptic curves

4522 = 2 · 7 · 17 · 19

Field	Data	Notes
Atkin-Lehner	2- 7- 17+ 19+	Signs for the Atkin-Lehner involutions
Class	4522f	Isogeny class
Conductor	4522	Conductor
∏ cp	512	Product of Tamagawa factors cp
deg	204800	Modular degree for the optimal curve
Δ	1.5194986012921E+20	Discriminant
Eigenvalues	2-  2 -2 7-  0 -6 17+ 19+	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,-1626639,-535369963]	[a1,a2,a3,a4,a6]
Generators	[-16935:-408634:27]	Generators of the group modulo torsion
j	475989388412119272207217/151949860129212465152	j-invariant
L	6.5335073429417	L(r)(E,1)/r!
Ω	0.13705630414849	Real period
R	0.37242377454913	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	36176p1 40698n1 113050h1 31654x1	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 4522f1

a2	a3	a5	a7	a11	a13	a17	a19	a23	a29	a31	a37	a41	a43	a47	a53	a59	a61	a67	a71	a73	a79	a83	a89	a97
-	2	-2	-	0	-6	+	+	-8	0	2	-8	0	-4	0	2	4	-10	12	10	14	-14	12	-2	0

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Quadratic twists for elliptic curve 4522f1

-4	-3	5	-7	17	-19
36176p1	40698n1	113050h1	31654x1	76874r1	85918l1

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Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

Part of Computational Number Theory
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