Atkin-Lehner |
2- 3- 5- 7+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
112560cl |
Isogeny class |
Conductor |
112560 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
319488 |
Modular degree for the optimal curve |
Δ |
199171768320 = 220 · 34 · 5 · 7 · 67 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 0 6 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-63400,-6165580] |
[a1,a2,a3,a4,a6] |
j |
6880791336690601/48625920 |
j-invariant |
L |
4.8138972513627 |
L(r)(E,1)/r! |
Ω |
0.30086859192082 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14070b1 |
Quadratic twists by: -4 |