Atkin-Lehner |
5- 7- 19+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
76475u |
Isogeny class |
Conductor |
76475 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
153600 |
Modular degree for the optimal curve |
Δ |
14538614453125 = 58 · 7 · 19 · 234 |
Discriminant |
Eigenvalues |
1 -1 5- 7- -1 -1 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-20450,-1119125] |
[a1,a2,a3,a4,a6] |
Generators |
[-90:95:1] |
Generators of the group modulo torsion |
j |
2421457197385/37218853 |
j-invariant |
L |
4.7886711096001 |
L(r)(E,1)/r! |
Ω |
0.39960225834962 |
Real period |
R |
1.9972656187079 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999979987 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
76475b1 |
Quadratic twists by: 5 |