Atkin-Lehner |
2- 3+ 31- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
123504x |
Isogeny class |
Conductor |
123504 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
119808 |
Modular degree for the optimal curve |
Δ |
-182303760384 = -1 · 213 · 32 · 313 · 83 |
Discriminant |
Eigenvalues |
2- 3+ -1 -2 6 0 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1736,35184] |
[a1,a2,a3,a4,a6] |
Generators |
[-20:248:1] |
Generators of the group modulo torsion |
j |
-141339344329/44507754 |
j-invariant |
L |
5.3506632718649 |
L(r)(E,1)/r! |
Ω |
0.95700146743832 |
Real period |
R |
0.23296129739597 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999978923 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15438e1 |
Quadratic twists by: -4 |