Cremona's table of elliptic curves

Curve 66640cm2

66640 = 24 · 5 · 72 · 17



Data for elliptic curve 66640cm2

Field Data Notes
Atkin-Lehner 2- 5- 7- 17- Signs for the Atkin-Lehner involutions
Class 66640cm Isogeny class
Conductor 66640 Conductor
∏ cp 18 Product of Tamagawa factors cp
Δ 7703584000 = 28 · 53 · 72 · 173 Discriminant
Eigenvalues 2-  1 5- 7-  0  4 17- -4 Hecke eigenvalues for primes up to 20
Equation [0,1,0,-765,-7225] [a1,a2,a3,a4,a6]
Generators [-17:34:1] Generators of the group modulo torsion
j 3952205824/614125 j-invariant
L 8.3326899743281 L(r)(E,1)/r!
Ω 0.91718287180234 Real period
R 0.50472728506812 Regulator
r 1 Rank of the group of rational points
S 1.0000000000005 (Analytic) order of Ш
t 1 Number of elements in the torsion subgroup
Twists 16660j2 66640v2 Quadratic twists by: -4 -7


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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