Atkin-Lehner |
2- 3+ 5+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
94380b |
Isogeny class |
Conductor |
94380 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1520640 |
Modular degree for the optimal curve |
Δ |
2979502702347600 = 24 · 35 · 52 · 119 · 13 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 11+ 13+ -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1403761,640621786] |
[a1,a2,a3,a4,a6] |
j |
8108665585664/78975 |
j-invariant |
L |
1.221644991247 |
L(r)(E,1)/r! |
Ω |
0.40721502588058 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
94380d1 |
Quadratic twists by: -11 |