Atkin-Lehner |
2+ 3- 19- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
72504m |
Isogeny class |
Conductor |
72504 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
150528 |
Modular degree for the optimal curve |
Δ |
148372341048576 = 28 · 313 · 193 · 53 |
Discriminant |
Eigenvalues |
2+ 3- -1 1 2 0 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-13503,145906] |
[a1,a2,a3,a4,a6] |
Generators |
[-25:684:1] |
Generators of the group modulo torsion |
j |
1458972216016/795033549 |
j-invariant |
L |
6.8453744746642 |
L(r)(E,1)/r! |
Ω |
0.50435031020669 |
Real period |
R |
1.1310548666127 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000908 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24168s1 |
Quadratic twists by: -3 |