Atkin-Lehner |
2+ 3+ 5+ 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
30450i |
Isogeny class |
Conductor |
30450 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
8636171906250 = 2 · 34 · 56 · 76 · 29 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 4 0 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-6125,-121125] |
[a1,a2,a3,a4,a6] |
Generators |
[-65:120:1] |
Generators of the group modulo torsion |
j |
1626794704081/552715002 |
j-invariant |
L |
3.9268279846979 |
L(r)(E,1)/r! |
Ω |
0.55450771609694 |
Real period |
R |
1.1802745242026 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
91350em2 1218j2 |
Quadratic twists by: -3 5 |