Atkin-Lehner |
2+ 3- 7- 19+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
112518l |
Isogeny class |
Conductor |
112518 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
72704 |
Modular degree for the optimal curve |
Δ |
3116973636 = 22 · 38 · 7 · 192 · 47 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 2 2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-441,2457] |
[a1,a2,a3,a4,a6] |
j |
13027640977/4275684 |
j-invariant |
L |
2.6202900607208 |
L(r)(E,1)/r! |
Ω |
1.3101451782005 |
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 |
37506w1 |
Quadratic twists by: -3 |