Cremona's table of elliptic curves

798 = 2 · 3 · 7 · 19

Field	Data	Notes
Atkin-Lehner	2+ 3- 7- 19+	Signs for the Atkin-Lehner involutions
Class	798d	Isogeny class
Conductor	798	Conductor
∏ cp	40	Product of Tamagawa factors cp
deg	320	Modular degree for the optimal curve
Δ	177366672 = 24 · 35 · 74 · 19	Discriminant
Eigenvalues	2+ 3- -2 7- -4 -2 -2 19+	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,-162,-476]	[a1,a2,a3,a4,a6]
Generators	[-4:12:1]	Generators of the group modulo torsion
j	466025146777/177366672	j-invariant
L	1.8586019292251	L(r)(E,1)/r!
Ω	1.3827775711954	Real period
R	0.13441076626795	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	6384t1 25536t1 2394m1 19950br1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 798d1

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	-	-4	-2	-2	+	-4	2	4	-6	-10	-4	-8	10	12	-2	-8	-16	10	-8	0	-10	-2

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Quadratic twists for elliptic curve 798d1

-4	8	-3	5	-7	-11	-19
6384t1	25536t1	2394m1	19950br1	5586j1	96558cu1	15162w1

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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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