Atkin-Lehner |
5- 7+ 19+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
76475p |
Isogeny class |
Conductor |
76475 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
61276800 |
Modular degree for the optimal curve |
Δ |
2.3368062301471E+26 |
Discriminant |
Eigenvalues |
1 -1 5- 7+ 5 -5 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-8057106750,278362056703675] |
[a1,a2,a3,a4,a6] |
Generators |
[-9410910023856345745566697950786:8584742878914738892234054004875607:402735487311296091056470969] |
Generators of the group modulo torsion |
j |
92550985602275383996701626892025/373888996823531672634277 |
j-invariant |
L |
4.9672821150268 |
L(r)(E,1)/r! |
Ω |
0.049016340833937 |
Real period |
R |
50.669654553117 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
76475j1 |
Quadratic twists by: 5 |