Cremona's table of elliptic curves

3255 = 3 · 5 · 7 · 31

Field	Data	Notes
Atkin-Lehner	3+ 5- 7+ 31-	Signs for the Atkin-Lehner involutions
Class	3255d	Isogeny class
Conductor	3255	Conductor
∏ cp	32	Product of Tamagawa factors cp
Δ	-50890131952734375 = -1 · 36 · 58 · 78 · 31	Discriminant
Eigenvalues	-1 3+ 5- 7+  4 -2 -6  4	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,89265,3562212]	[a1,a2,a3,a4,a6]
Generators	[-8:1691:1]	Generators of the group modulo torsion
j	78662371627346466959/50890131952734375	j-invariant
L	1.9473486085038	L(r)(E,1)/r!
Ω	0.22220694529529	Real period
R	1.0954589008885	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	52080cf5 9765e6 16275t6 22785o5	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 3255d6

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

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Quadratic twists for elliptic curve 3255d6

-4	-3	5	-7	-31
52080cf5	9765e6	16275t6	22785o5	100905s5

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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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