Atkin-Lehner |
5+ 7+ 19- 23- |
Signs for the Atkin-Lehner involutions |
Class |
76475g |
Isogeny class |
Conductor |
76475 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
11520 |
Modular degree for the optimal curve |
Δ |
535325 = 52 · 72 · 19 · 23 |
Discriminant |
Eigenvalues |
2 2 5+ 7+ -2 2 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-28,-37] |
[a1,a2,a3,a4,a6] |
Generators |
[-156:181:64] |
Generators of the group modulo torsion |
j |
100618240/21413 |
j-invariant |
L |
17.948817148476 |
L(r)(E,1)/r! |
Ω |
2.1004804492318 |
Real period |
R |
4.27255039522 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000803 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
76475x1 |
Quadratic twists by: 5 |