Atkin-Lehner |
3- 5+ 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
113925bp |
Isogeny class |
Conductor |
113925 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
deg |
451584 |
Modular degree for the optimal curve |
Δ |
6106815834328125 = 37 · 56 · 78 · 31 |
Discriminant |
Eigenvalues |
0 3- 5+ 7+ 1 -4 -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-45733,170944] |
[a1,a2,a3,a4,a6] |
Generators |
[-82:-1838:1] |
Generators of the group modulo torsion |
j |
117440512/67797 |
j-invariant |
L |
5.8190036815876 |
L(r)(E,1)/r! |
Ω |
0.36100572519146 |
Real period |
R |
0.38378257508986 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999904948 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4557a1 113925i1 |
Quadratic twists by: 5 -7 |