Atkin-Lehner |
5- 7- 19- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
76475w |
Isogeny class |
Conductor |
76475 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
662400 |
Modular degree for the optimal curve |
Δ |
53119672416015625 = 59 · 76 · 19 · 233 |
Discriminant |
Eigenvalues |
-1 0 5- 7- 2 -2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-616305,186050072] |
[a1,a2,a3,a4,a6] |
j |
13255010796872781/27197272277 |
j-invariant |
L |
1.0655138479286 |
L(r)(E,1)/r! |
Ω |
0.35517128658471 |
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 |
76475t1 |
Quadratic twists by: 5 |