Atkin-Lehner |
2- 3+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
89376cd |
Isogeny class |
Conductor |
89376 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
75866112 |
Modular degree for the optimal curve |
Δ |
-9.6803022875889E+27 |
Discriminant |
Eigenvalues |
2- 3+ -4 7- -2 -2 -8 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-607527790,7458602348716] |
[a1,a2,a3,a4,a6] |
j |
-3293471763919519109730496/1285643934445484858643 |
j-invariant |
L |
0.61424698610644 |
L(r)(E,1)/r! |
Ω |
0.038390449244145 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
89376u1 12768bd1 |
Quadratic twists by: -4 -7 |