Atkin-Lehner |
2- 3- 37+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
52614k |
Isogeny class |
Conductor |
52614 |
Conductor |
∏ cp |
228 |
Product of Tamagawa factors cp |
deg |
19152000 |
Modular degree for the optimal curve |
Δ |
-5.3667583787009E+25 |
Discriminant |
Eigenvalues |
2- 3- 2 -1 -2 6 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-375014174,-2817283822675] |
[a1,a2,a3,a4,a6] |
j |
-8000907150286241855204552857/73618084755842825453568 |
j-invariant |
L |
3.9088959251092 |
L(r)(E,1)/r! |
Ω |
0.017144280377733 |
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 |
17538e1 |
Quadratic twists by: -3 |