Atkin-Lehner |
2- 5- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
47600bo |
Isogeny class |
Conductor |
47600 |
Conductor |
∏ cp |
44 |
Product of Tamagawa factors cp |
deg |
3358080 |
Modular degree for the optimal curve |
Δ |
-1.1995163707672E+23 |
Discriminant |
Eigenvalues |
2- 0 5- 7- 0 7 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-8957000,-19599112500] |
[a1,a2,a3,a4,a6] |
Generators |
[4154:121958:1] |
Generators of the group modulo torsion |
j |
-158943008967155712/239903274153431 |
j-invariant |
L |
6.1941233112858 |
L(r)(E,1)/r! |
Ω |
0.041413630552552 |
Real period |
R |
3.3992559435978 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000016 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11900d1 47600bg1 |
Quadratic twists by: -4 5 |