Atkin-Lehner |
2- 3- 31+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
61008m |
Isogeny class |
Conductor |
61008 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
4276224 |
Modular degree for the optimal curve |
Δ |
9.4379959342997E+22 |
Discriminant |
Eigenvalues |
2- 3- 2 -2 0 0 -8 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-12696152,9199912980] |
[a1,a2,a3,a4,a6] |
j |
55256088425201041579993/23041982261473837056 |
j-invariant |
L |
2.3213996518003 |
L(r)(E,1)/r! |
Ω |
0.096724985694294 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7626c1 |
Quadratic twists by: -4 |