Atkin-Lehner |
2- 7- 19+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
76342q |
Isogeny class |
Conductor |
76342 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
1354752 |
Modular degree for the optimal curve |
Δ |
6240901090816 = 29 · 77 · 192 · 41 |
Discriminant |
Eigenvalues |
2- -1 3 7- 0 4 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-4972129,-4269455457] |
[a1,a2,a3,a4,a6] |
j |
115548055316575483393/53046784 |
j-invariant |
L |
3.6397071956491 |
L(r)(E,1)/r! |
Ω |
0.10110298017222 |
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 |
10906p1 |
Quadratic twists by: -7 |