Atkin-Lehner |
5+ 13- 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
104975j |
Isogeny class |
Conductor |
104975 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
12503040 |
Modular degree for the optimal curve |
Δ |
-2.0335242152214E+24 |
Discriminant |
Eigenvalues |
0 -1 5+ 2 4 13- 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-45152783,135459520593] |
[a1,a2,a3,a4,a6] |
j |
-651564277263222717251584/130145549774169921875 |
j-invariant |
L |
1.2693831826708 |
L(r)(E,1)/r! |
Ω |
0.079336410117958 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20995a1 |
Quadratic twists by: 5 |