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	7854r	Isogeny class
Conductor	7854	Conductor
∏ cp	180	Product of Tamagawa factors cp
Δ	-6.1875690788437E+19	Discriminant
Eigenvalues	2- 3- -3 7- 11+ -1 17-  2	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-1965977,-1126642311]	[a1,a2,a3,a4,a6]
Generators	[5140:350377:1]	Generators of the group modulo torsion
j	-840347716046483516416273/61875690788436630336	j-invariant
L	6.4039415541379	L(r)(E,1)/r!
Ω	0.06348044075344	Real period
R	0.56044748045666	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	62832bd2 23562q2 54978bm2 86394w2	Quadratic twists by: -4 -3 -7 -11

Hecke Eigenvalues for elliptic curve 7854r2

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
-	-	-3	-	+	-1	-	2	-3	-3	-4	-4	6	-13	0	3	-9	-4	-4	3	2	8	-12	6	14

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Quadratic twists for elliptic curve 7854r2

-4	-3	-7	-11
62832bd2	23562q2	54978bm2	86394w2

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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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