Cremona's table of elliptic curves

76230 = 2 · 3² · 5 · 7 · 11²

Field	Data	Notes
Atkin-Lehner	2- 3- 5+ 7- 11-	Signs for the Atkin-Lehner involutions
Class	76230dv	Isogeny class
Conductor	76230	Conductor
∏ cp	54	Product of Tamagawa factors cp
Δ	-146437525080 = -1 · 23 · 36 · 5 · 73 · 114	Discriminant
Eigenvalues	2- 3- 5+ 7- 11-  2 -3 -1	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,-27248,1738091]	[a1,a2,a3,a4,a6]
Generators	[3:1285:1]	Generators of the group modulo torsion
j	-209611155721/13720	j-invariant
L	9.9561137495207	L(r)(E,1)/r!
Ω	0.97830101328254	Real period
R	1.696157183475	Regulator
r	1	Rank of the group of rational points
S	1.0000000001849	(Analytic) order of Ш
t	3	Number of elements in the torsion subgroup
Twists	8470o2 76230r2	Quadratic twists by: -3 -11

Hecke Eigenvalues for elliptic curve 76230dv2

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	-3	-1	6	-6	-4	2	0	-7	0	-9	-3	-7	11	3	11	11	12	0	-1

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Quadratic twists for elliptic curve 76230dv2

-3	-11
8470o2	76230r2

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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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