Cremona's table of elliptic curves

Curve 70725o4

70725 = 3 · 52 · 23 · 41



Data for elliptic curve 70725o4

Field Data Notes
Atkin-Lehner 3- 5+ 23+ 41- Signs for the Atkin-Lehner involutions
Class 70725o Isogeny class
Conductor 70725 Conductor
∏ cp 4 Product of Tamagawa factors cp
Δ 132609375 = 32 · 56 · 23 · 41 Discriminant
Eigenvalues  1 3- 5+  4  0  2 -6 -8 Hecke eigenvalues for primes up to 20
Equation [1,0,1,-1131601,-463421527] [a1,a2,a3,a4,a6]
Generators [-2978569218000558:1486931066041091:4849120870776] Generators of the group modulo torsion
j 10256120201686185217/8487 j-invariant
L 10.59011866506 L(r)(E,1)/r!
Ω 0.14637815538698 Real period
R 18.086917815957 Regulator
r 1 Rank of the group of rational points
S 3.9999999995909 (Analytic) order of Ш
t 2 Number of elements in the torsion subgroup
Twists 2829e3 Quadratic twists by: 5


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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