Atkin-Lehner |
2- 7+ 11+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
52976l |
Isogeny class |
Conductor |
52976 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
107520 |
Modular degree for the optimal curve |
Δ |
-76213724905472 = -1 · 226 · 74 · 11 · 43 |
Discriminant |
Eigenvalues |
2- 1 0 7+ 11+ -2 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2128,421012] |
[a1,a2,a3,a4,a6] |
j |
-260305116625/18606866432 |
j-invariant |
L |
2.0197327206715 |
L(r)(E,1)/r! |
Ω |
0.50493318032672 |
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 |
6622i1 |
Quadratic twists by: -4 |