Atkin-Lehner |
2- 3- 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
114996v |
Isogeny class |
Conductor |
114996 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
1575936 |
Modular degree for the optimal curve |
Δ |
32822126927471952 = 24 · 32 · 74 · 377 |
Discriminant |
Eigenvalues |
2- 3- -4 7- 4 6 -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-83965,-3451756] |
[a1,a2,a3,a4,a6] |
j |
1594753024/799533 |
j-invariant |
L |
3.5461763276311 |
L(r)(E,1)/r! |
Ω |
0.29551465022243 |
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 |
3108h1 |
Quadratic twists by: 37 |