Atkin-Lehner |
2- 3- 5- 53- |
Signs for the Atkin-Lehner involutions |
Class |
25440bj |
Isogeny class |
Conductor |
25440 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
737193960000 = 26 · 38 · 54 · 532 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 0 -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3070,-51832] |
[a1,a2,a3,a4,a6] |
Generators |
[-34:120:1] |
Generators of the group modulo torsion |
j |
50015005499584/11518655625 |
j-invariant |
L |
7.1751460103556 |
L(r)(E,1)/r! |
Ω |
0.6519906746632 |
Real period |
R |
1.3756228212279 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
25440bd1 50880bw2 76320g1 127200a1 |
Quadratic twists by: -4 8 -3 5 |