Atkin-Lehner |
2+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
69938d |
Isogeny class |
Conductor |
69938 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1270080 |
Modular degree for the optimal curve |
Δ |
-1429097692945973248 = -1 · 221 · 119 · 172 |
Discriminant |
Eigenvalues |
2+ 2 0 2 11- 1 17+ 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,202915,45585533] |
[a1,a2,a3,a4,a6] |
j |
1804716011375/2791309312 |
j-invariant |
L |
2.9349249759092 |
L(r)(E,1)/r! |
Ω |
0.18343281126137 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6358i1 69938i1 |
Quadratic twists by: -11 17 |