Cremona's table of elliptic curves

8246 = 2 · 7 · 19 · 31

Field	Data	Notes
Atkin-Lehner	2- 7+ 19- 31+	Signs for the Atkin-Lehner involutions
Class	8246d	Isogeny class
Conductor	8246	Conductor
∏ cp	48	Product of Tamagawa factors cp
Δ	127995553774144 = 26 · 78 · 192 · 312	Discriminant
Eigenvalues	2-  0 -2 7+  4 -2  2 19-	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,-121671,-16295809]	[a1,a2,a3,a4,a6]
Generators	[2995:161222:1]	Generators of the group modulo torsion
j	199196451795009669057/127995553774144	j-invariant
L	5.3913139602891	L(r)(E,1)/r!
Ω	0.25563470571814	Real period
R	7.0299713350001	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	65968q2 74214f2 57722o2	Quadratic twists by: -4 -3 -7

Hecke Eigenvalues for elliptic curve 8246d2

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
-	0	-2	+	4	-2	2	-	4	-2	+	-2	-6	4	0	6	-4	10	-4	0	-14	0	-12	-10	10

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Quadratic twists for elliptic curve 8246d2

-4	-3	-7
65968q2	74214f2	57722o2

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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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