Atkin-Lehner |
2- 3- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
117600hw |
Isogeny class |
Conductor |
117600 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1244160 |
Modular degree for the optimal curve |
Δ |
-217909477800000000 = -1 · 29 · 33 · 58 · 79 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -2 -3 -5 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-353208,83742588] |
[a1,a2,a3,a4,a6] |
Generators |
[219:4116:1] |
Generators of the group modulo torsion |
j |
-207108680/9261 |
j-invariant |
L |
7.0545316437204 |
L(r)(E,1)/r! |
Ω |
0.31234779603623 |
Real period |
R |
1.8821251155695 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000089545 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
117600bp1 117600v1 16800bm1 |
Quadratic twists by: -4 5 -7 |