Atkin-Lehner |
3- 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
25857q |
Isogeny class |
Conductor |
25857 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
37440 |
Modular degree for the optimal curve |
Δ |
-1615103386299 = -1 · 39 · 136 · 17 |
Discriminant |
Eigenvalues |
0 3- 3 4 -3 13+ 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,1014,59868] |
[a1,a2,a3,a4,a6] |
Generators |
[38:391:1] |
Generators of the group modulo torsion |
j |
32768/459 |
j-invariant |
L |
6.1034290013776 |
L(r)(E,1)/r! |
Ω |
0.62535722761746 |
Real period |
R |
2.4399769970801 |
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 |
8619i1 153b1 |
Quadratic twists by: -3 13 |