Atkin-Lehner |
2- 5- 17+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
25160h |
Isogeny class |
Conductor |
25160 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
57600 |
Modular degree for the optimal curve |
Δ |
58554868000000 = 28 · 56 · 172 · 373 |
Discriminant |
Eigenvalues |
2- -1 5- -3 -1 -6 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-11345,-280475] |
[a1,a2,a3,a4,a6] |
Generators |
[-45:-370:1] [-60:425:1] |
Generators of the group modulo torsion |
j |
630863683818496/228729953125 |
j-invariant |
L |
6.43315853972 |
L(r)(E,1)/r! |
Ω |
0.4765821154472 |
Real period |
R |
0.18747959956268 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
50320f1 125800b1 |
Quadratic twists by: -4 5 |