Atkin-Lehner |
2- 3- 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
95550jo |
Isogeny class |
Conductor |
95550 |
Conductor |
∏ cp |
720 |
Product of Tamagawa factors cp |
deg |
6220800 |
Modular degree for the optimal curve |
Δ |
-7.52597711775E+21 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 0 13- 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,4896912,-156734208] |
[a1,a2,a3,a4,a6] |
Generators |
[1992:-133296:1] |
Generators of the group modulo torsion |
j |
7064514799444439/4094064000000 |
j-invariant |
L |
13.570004139901 |
L(r)(E,1)/r! |
Ω |
0.07842797845295 |
Real period |
R |
0.9612502239909 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004416 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19110c1 1950n1 |
Quadratic twists by: 5 -7 |