Atkin-Lehner |
2+ 5+ 7- 53- |
Signs for the Atkin-Lehner involutions |
Class |
25970j |
Isogeny class |
Conductor |
25970 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
432000 |
Modular degree for the optimal curve |
Δ |
-62353970000000000 = -1 · 210 · 510 · 76 · 53 |
Discriminant |
Eigenvalues |
2+ 3 5+ 7- 0 -1 -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,60065,-10609075] |
[a1,a2,a3,a4,a6] |
Generators |
[6186:101963:27] |
Generators of the group modulo torsion |
j |
203702260843719/530000000000 |
j-invariant |
L |
6.5658012483155 |
L(r)(E,1)/r! |
Ω |
0.18032483338155 |
Real period |
R |
4.5513706606502 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
129850cl1 530c1 |
Quadratic twists by: 5 -7 |