Cremona's table of elliptic curves

7843 = 11 · 23 · 31

Field	Data	Notes
Atkin-Lehner	11+ 23- 31+	Signs for the Atkin-Lehner involutions
Class	7843b	Isogeny class
Conductor	7843	Conductor
∏ cp	2	Product of Tamagawa factors cp
deg	432	Modular degree for the optimal curve
Δ	86273 = 112 · 23 · 31	Discriminant
Eigenvalues	1  0  2 -2 11+  0 -6 -2	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,-11,0]	[a1,a2,a3,a4,a6]
j	154854153/86273	j-invariant
L	1.4004711424463	L(r)(E,1)/r!
Ω	2.8009422848927	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	125488m1 70587k1 86273b1	Quadratic twists by: -4 -3 -11

Hecke Eigenvalues for elliptic curve 7843b1

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

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Quadratic twists for elliptic curve 7843b1

-4	-3	-11
125488m1	70587k1	86273b1

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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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