Atkin-Lehner |
5+ 7- 19+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
76475m |
Isogeny class |
Conductor |
76475 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
41088 |
Modular degree for the optimal curve |
Δ |
1758925 = 52 · 7 · 19 · 232 |
Discriminant |
Eigenvalues |
-1 3 5+ 7- -1 5 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1020,-12278] |
[a1,a2,a3,a4,a6] |
Generators |
[1596:8975:27] |
Generators of the group modulo torsion |
j |
4690131180345/70357 |
j-invariant |
L |
8.409937104178 |
L(r)(E,1)/r! |
Ω |
0.84485693184849 |
Real period |
R |
4.9771368301834 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000833 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
76475o1 |
Quadratic twists by: 5 |