Atkin-Lehner |
2- 5- 19- 67- |
Signs for the Atkin-Lehner involutions |
Class |
25460d |
Isogeny class |
Conductor |
25460 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
-6304148054000 = -1 · 24 · 53 · 196 · 67 |
Discriminant |
Eigenvalues |
2- 1 5- -1 0 2 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-10250,-420727] |
[a1,a2,a3,a4,a6] |
Generators |
[281:4355:1] |
Generators of the group modulo torsion |
j |
-7444194215616256/394009253375 |
j-invariant |
L |
6.7502614244254 |
L(r)(E,1)/r! |
Ω |
0.23651020392653 |
Real period |
R |
4.7568500303989 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
101840o1 127300d1 |
Quadratic twists by: -4 5 |