Atkin-Lehner |
2- 7+ 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
113344di |
Isogeny class |
Conductor |
113344 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
405504 |
Modular degree for the optimal curve |
Δ |
230093209206784 = 230 · 7 · 113 · 23 |
Discriminant |
Eigenvalues |
2- 1 -3 7+ 11- -5 0 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-15617,172799] |
[a1,a2,a3,a4,a6] |
Generators |
[-987:-22528:27] [5:308:1] |
Generators of the group modulo torsion |
j |
1606957644097/877735936 |
j-invariant |
L |
10.891685085471 |
L(r)(E,1)/r! |
Ω |
0.48595602109854 |
Real period |
R |
1.8677419033466 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999985 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
113344ba1 28336q1 |
Quadratic twists by: -4 8 |