Atkin-Lehner |
2- 7- 13+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
77714l |
Isogeny class |
Conductor |
77714 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
187392 |
Modular degree for the optimal curve |
Δ |
33959619148 = 22 · 77 · 132 · 61 |
Discriminant |
Eigenvalues |
2- -1 2 7- 3 13+ -1 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-39397,-3026241] |
[a1,a2,a3,a4,a6] |
j |
57481172513857/288652 |
j-invariant |
L |
5.4219289866906 |
L(r)(E,1)/r! |
Ω |
0.33887055973042 |
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 |
11102e1 |
Quadratic twists by: -7 |