Atkin-Lehner |
2- 3- 13- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
76752cf |
Isogeny class |
Conductor |
76752 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
258048 |
Modular degree for the optimal curve |
Δ |
5851014599798784 = 212 · 313 · 13 · 413 |
Discriminant |
Eigenvalues |
2- 3- 1 -2 1 13- 1 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-45867,866842] |
[a1,a2,a3,a4,a6] |
j |
3573857582569/1959492951 |
j-invariant |
L |
1.4829316679587 |
L(r)(E,1)/r! |
Ω |
0.3707329163643 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4797c1 25584ba1 |
Quadratic twists by: -4 -3 |