Atkin-Lehner |
3- 5+ 29- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
80475h |
Isogeny class |
Conductor |
80475 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
3916800 |
Modular degree for the optimal curve |
Δ |
-3740323871513671875 = -1 · 35 · 510 · 292 · 374 |
Discriminant |
Eigenvalues |
0 3- 5+ -1 2 -1 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-53153333,-149174826256] |
[a1,a2,a3,a4,a6] |
Generators |
[294294:159601978:1] |
Generators of the group modulo torsion |
j |
-1700650941640238694400/383009164443 |
j-invariant |
L |
6.1073731443672 |
L(r)(E,1)/r! |
Ω |
0.027956765709788 |
Real period |
R |
10.922889298582 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000007334 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
80475e1 |
Quadratic twists by: 5 |