Atkin-Lehner |
2- 11+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
6952b |
Isogeny class |
Conductor |
6952 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
4352 |
Modular degree for the optimal curve |
Δ |
1184398336 = 210 · 114 · 79 |
Discriminant |
Eigenvalues |
2- 3 3 1 11+ 1 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-331,1622] |
[a1,a2,a3,a4,a6] |
j |
3916586628/1156639 |
j-invariant |
L |
5.7196149209938 |
L(r)(E,1)/r! |
Ω |
1.4299037302484 |
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 |
13904b1 55616m1 62568d1 76472b1 |
Quadratic twists by: -4 8 -3 -11 |