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	798c	Isogeny class
Conductor	798	Conductor
∏ cp	20	Product of Tamagawa factors cp
deg	160	Modular degree for the optimal curve
Δ	904932 = 22 · 35 · 72 · 19	Discriminant
Eigenvalues	2+ 3- -2 7+ -2  2 -4 19-	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,-92,326]	[a1,a2,a3,a4,a6]
Generators	[12:-38:1]	Generators of the group modulo torsion
j	84778086457/904932	j-invariant
L	1.8270977123846	L(r)(E,1)/r!
Ω	2.8121213631545	Real period
R	0.12994444239313	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	6384x1 25536b1 2394l1 19950cd1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 798c1

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

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Quadratic twists for elliptic curve 798c1

-4	8	-3	5	-7	-11	-19
6384x1	25536b1	2394l1	19950cd1	5586d1	96558cz1	15162s1

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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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