Atkin-Lehner |
2- 3- 7- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
117978y |
Isogeny class |
Conductor |
117978 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
1347840 |
Modular degree for the optimal curve |
Δ |
-24866285408069616 = -1 · 24 · 33 · 72 · 537 |
Discriminant |
Eigenvalues |
2- 3- -2 7- -6 2 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,57526,5423124] |
[a1,a2,a3,a4,a6] |
j |
949862087/1121904 |
j-invariant |
L |
3.028216250206 |
L(r)(E,1)/r! |
Ω |
0.25235141980569 |
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 |
2226d1 |
Quadratic twists by: 53 |