Atkin-Lehner |
2- 3- 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
114996r |
Isogeny class |
Conductor |
114996 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
1181952 |
Modular degree for the optimal curve |
Δ |
-124015966466482944 = -1 · 28 · 36 · 7 · 377 |
Discriminant |
Eigenvalues |
2- 3- 3 7- 3 1 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-105869,21479103] |
[a1,a2,a3,a4,a6] |
j |
-199794688/188811 |
j-invariant |
L |
7.2357402886041 |
L(r)(E,1)/r! |
Ω |
0.30148918706509 |
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 |
3108j1 |
Quadratic twists by: 37 |