Cremona's table of elliptic curves

4845 = 3 · 5 · 17 · 19

Field	Data	Notes
Atkin-Lehner	3- 5- 17- 19-	Signs for the Atkin-Lehner involutions
Class	4845h	Isogeny class
Conductor	4845	Conductor
∏ cp	48	Product of Tamagawa factors cp
deg	6144	Modular degree for the optimal curve
Δ	40376703825 = 36 · 52 · 17 · 194	Discriminant
Eigenvalues	-1 3- 5- -4  0 -2 17- 19-	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-6575,204432]	[a1,a2,a3,a4,a6]
Generators	[49:-2:1]	Generators of the group modulo torsion
j	31435119227026801/40376703825	j-invariant
L	2.6799406891176	L(r)(E,1)/r!
Ω	1.1446532489616	Real period
R	0.78042286067819	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	77520bx1 14535h1 24225b1 82365d1	Quadratic twists by: -4 -3 5 17

Hecke Eigenvalues for elliptic curve 4845h1

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
-1	-	-	-4	0	-2	-	-	4	-6	0	10	-10	4	0	-2	4	6	-4	-8	-14	8	4	10	-10

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Quadratic twists for elliptic curve 4845h1

-4	-3	5	17	-19
77520bx1	14535h1	24225b1	82365d1	92055j1

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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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