Atkin-Lehner |
2- 3+ 19- 53- |
Signs for the Atkin-Lehner involutions |
Class |
48336be |
Isogeny class |
Conductor |
48336 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
126720 |
Modular degree for the optimal curve |
Δ |
46763089330176 = 218 · 311 · 19 · 53 |
Discriminant |
Eigenvalues |
2- 3+ -1 -1 0 -2 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-49496,-4209168] |
[a1,a2,a3,a4,a6] |
j |
3274031454654169/11416769856 |
j-invariant |
L |
1.280581888568 |
L(r)(E,1)/r! |
Ω |
0.32014547207311 |
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 |
6042g1 |
Quadratic twists by: -4 |