Atkin-Lehner |
2- 3+ 5- 31- |
Signs for the Atkin-Lehner involutions |
Class |
115320r |
Isogeny class |
Conductor |
115320 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
35481600 |
Modular degree for the optimal curve |
Δ |
-1.0696904366357E+21 |
Discriminant |
Eigenvalues |
2- 3+ 5- -3 -3 2 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1575502160,24070554473100] |
[a1,a2,a3,a4,a6] |
j |
-237947203935023980322/588515625 |
j-invariant |
L |
1.4269818818314 |
L(r)(E,1)/r! |
Ω |
0.10192723178574 |
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 |
3720h1 |
Quadratic twists by: -31 |