Atkin-Lehner |
2- 7- 19+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
68894p |
Isogeny class |
Conductor |
68894 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
270336 |
Modular degree for the optimal curve |
Δ |
953581640425694 = 2 · 714 · 19 · 37 |
Discriminant |
Eigenvalues |
2- 0 1 7- 1 -4 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-28552,-1106787] |
[a1,a2,a3,a4,a6] |
j |
21879168694209/8105310206 |
j-invariant |
L |
3.0299858279155 |
L(r)(E,1)/r! |
Ω |
0.37874822954151 |
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 |
9842i1 |
Quadratic twists by: -7 |