Atkin-Lehner |
3- 13+ 19- 23- |
Signs for the Atkin-Lehner involutions |
Class |
51129i |
Isogeny class |
Conductor |
51129 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
72576 |
Modular degree for the optimal curve |
Δ |
-4791337601427 = -1 · 313 · 13 · 19 · 233 |
Discriminant |
Eigenvalues |
-1 3- 2 3 0 13+ 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,2551,-93540] |
[a1,a2,a3,a4,a6] |
j |
2519342159543/6572479563 |
j-invariant |
L |
2.3824573245476 |
L(r)(E,1)/r! |
Ω |
0.39707622071995 |
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 |
17043c1 |
Quadratic twists by: -3 |