Atkin-Lehner |
2+ 3+ 5+ 11+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
124080b |
Isogeny class |
Conductor |
124080 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
3509760 |
Modular degree for the optimal curve |
Δ |
-6240747570369438720 = -1 · 210 · 3 · 5 · 116 · 475 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 3 11+ 5 -1 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1118976,-470810064] |
[a1,a2,a3,a4,a6] |
j |
-151316559804522212356/6094480049188905 |
j-invariant |
L |
1.4644350213731 |
L(r)(E,1)/r! |
Ω |
0.073221833876292 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
62040v1 |
Quadratic twists by: -4 |