Atkin-Lehner |
2- 3+ 13- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
114192bd |
Isogeny class |
Conductor |
114192 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1474560 |
Modular degree for the optimal curve |
Δ |
-54468787864338432 = -1 · 228 · 39 · 132 · 61 |
Discriminant |
Eigenvalues |
2- 3+ 4 2 -4 13- 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,55917,10009170] |
[a1,a2,a3,a4,a6] |
Generators |
[627530:44513846:125] |
Generators of the group modulo torsion |
j |
239830305597/675610624 |
j-invariant |
L |
10.431928937499 |
L(r)(E,1)/r! |
Ω |
0.24867931468567 |
Real period |
R |
10.487330759239 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000031769 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14274c1 114192be1 |
Quadratic twists by: -4 -3 |