Atkin-Lehner |
2- 3- 31+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
59148i |
Isogeny class |
Conductor |
59148 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
71424 |
Modular degree for the optimal curve |
Δ |
-740437613424 = -1 · 24 · 312 · 31 · 532 |
Discriminant |
Eigenvalues |
2- 3- 3 -1 2 -4 2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2181,57017] |
[a1,a2,a3,a4,a6] |
j |
-98365589248/63480591 |
j-invariant |
L |
3.3279808598463 |
L(r)(E,1)/r! |
Ω |
0.83199521417835 |
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 |
19716a1 |
Quadratic twists by: -3 |