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
Δ	-298433646 = -1 · 2 · 310 · 7 · 192	Discriminant
Eigenvalues	2+ 3- -2 7+ -2  2 -4 19-	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,-22,830]	[a1,a2,a3,a4,a6]
Generators	[4:26:1]	Generators of the group modulo torsion
j	-1102302937/298433646	j-invariant
L	1.8270977123846	L(r)(E,1)/r!
Ω	1.4060606815772	Real period
R	0.25988888478626	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	6384x2 25536b2 2394l2 19950cd2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 798c2

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 798c2

-4	8	-3	5	-7	-11	-19
6384x2	25536b2	2394l2	19950cd2	5586d2	96558cz2	15162s2

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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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