Atkin-Lehner |
2+ 3- 5- 13- |
Signs for the Atkin-Lehner involutions |
Class |
93600cp |
Isogeny class |
Conductor |
93600 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
307200 |
Modular degree for the optimal curve |
Δ |
-15163200000000 = -1 · 212 · 36 · 58 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 5- -5 -1 13- 1 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-31500,2160000] |
[a1,a2,a3,a4,a6] |
Generators |
[-75:2025:1] [-50:1900:1] |
Generators of the group modulo torsion |
j |
-2963520/13 |
j-invariant |
L |
9.7518734506552 |
L(r)(E,1)/r! |
Ω |
0.70363920504088 |
Real period |
R |
0.57746648789937 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999033 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
93600co1 10400bi1 93600dr1 |
Quadratic twists by: -4 -3 5 |