Atkin-Lehner |
2- 3+ 7- 19+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
37506t |
Isogeny class |
Conductor |
37506 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
2379776 |
Modular degree for the optimal curve |
Δ |
-6.7554477497398E+20 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- -2 -4 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-3373052,2691031673] |
[a1,a2,a3,a4,a6] |
j |
-4244170569992671316225473/675544774973977510812 |
j-invariant |
L |
2.4898075715887 |
L(r)(E,1)/r! |
Ω |
0.15561297322506 |
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 |
112518k1 |
Quadratic twists by: -3 |