Atkin-Lehner |
2- 5+ 11+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
37840j |
Isogeny class |
Conductor |
37840 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
15552 |
Modular degree for the optimal curve |
Δ |
1172131840 = 212 · 5 · 113 · 43 |
Discriminant |
Eigenvalues |
2- -1 5+ -2 11+ -1 3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-661,-6115] |
[a1,a2,a3,a4,a6] |
j |
7809531904/286165 |
j-invariant |
L |
0.94356589866358 |
L(r)(E,1)/r! |
Ω |
0.94356589866532 |
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 |
2365b1 |
Quadratic twists by: -4 |