Atkin-Lehner |
3- 5+ 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
76725w |
Isogeny class |
Conductor |
76725 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
5768041640625 = 39 · 57 · 112 · 31 |
Discriminant |
Eigenvalues |
1 3- 5+ 2 11- -2 4 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-18792,989491] |
[a1,a2,a3,a4,a6] |
j |
64432972729/506385 |
j-invariant |
L |
3.0510807041475 |
L(r)(E,1)/r! |
Ω |
0.76277018214285 |
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 |
25575c1 15345k1 |
Quadratic twists by: -3 5 |