Cremona's table of elliptic curves

Curve 70525j1

70525 = 52 · 7 · 13 · 31



Data for elliptic curve 70525j1

Field Data Notes
Atkin-Lehner 5+ 7- 13+ 31+ Signs for the Atkin-Lehner involutions
Class 70525j Isogeny class
Conductor 70525 Conductor
∏ cp 2 Product of Tamagawa factors cp
deg 1267200 Modular degree for the optimal curve
Δ -32590263671875 = -1 · 510 · 72 · 133 · 31 Discriminant
Eigenvalues  1  0 5+ 7-  5 13+  2  4 Hecke eigenvalues for primes up to 20
Equation [1,-1,0,-6554492,6460510791] [a1,a2,a3,a4,a6]
j -3188899403089790625/3337243 j-invariant
L 3.3140311722434 L(r)(E,1)/r!
Ω 0.41425389607244 Real period
R 1 Regulator
r 0 Rank of the group of rational points
S 4 (Analytic) order of Ш
t 1 Number of elements in the torsion subgroup
Twists 70525t1 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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