Cremona's table of elliptic curves

7854 = 2 · 3 · 7 · 11 · 17

Field	Data	Notes
Atkin-Lehner	2- 3+ 7+ 11- 17+	Signs for the Atkin-Lehner involutions
Class	7854l	Isogeny class
Conductor	7854	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	100157326038 = 2 · 38 · 74 · 11 · 172	Discriminant
Eigenvalues	2- 3+  2 7+ 11- -2 17+ -8	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,-33992,-2426317]	[a1,a2,a3,a4,a6]
Generators	[284790:3187663:1000]	Generators of the group modulo torsion
j	4343648411957162113/100157326038	j-invariant
L	5.8917294159769	L(r)(E,1)/r!
Ω	0.35160570203596	Real period
R	8.3783189263728	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	62832bv4 23562i4 54978cc4 86394r4	Quadratic twists by: -4 -3 -7 -11

Hecke Eigenvalues for elliptic curve 7854l3

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

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Quadratic twists for elliptic curve 7854l3

-4	-3	-7	-11
62832bv4	23562i4	54978cc4	86394r4

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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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