Atkin-Lehner |
2+ 3+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
69312l |
Isogeny class |
Conductor |
69312 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1838592 |
Modular degree for the optimal curve |
Δ |
-5.4921797246201E+19 |
Discriminant |
Eigenvalues |
2+ 3+ 0 -3 -6 3 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,868807,172853913] |
[a1,a2,a3,a4,a6] |
j |
2888000/2187 |
j-invariant |
L |
1.0181468648419 |
L(r)(E,1)/r! |
Ω |
0.12726835788017 |
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 |
69312bn1 34656be1 69312bd1 |
Quadratic twists by: -4 8 -19 |