Atkin-Lehner |
2+ 3- 5+ 13- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
57720j |
Isogeny class |
Conductor |
57720 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
153600 |
Modular degree for the optimal curve |
Δ |
43290000000000 = 210 · 32 · 510 · 13 · 37 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 -2 13- 8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-9776,192240] |
[a1,a2,a3,a4,a6] |
Generators |
[484:22059:64] |
Generators of the group modulo torsion |
j |
100914078313156/42275390625 |
j-invariant |
L |
7.9196040717765 |
L(r)(E,1)/r! |
Ω |
0.58016863053899 |
Real period |
R |
6.8252604976006 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998068 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
115440d1 |
Quadratic twists by: -4 |