Atkin-Lehner |
2- 3- 5+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
93600ea |
Isogeny class |
Conductor |
93600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
-8734003200 = -1 · 212 · 38 · 52 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5+ -1 -5 13- -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,420,3040] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:36:1] [6:76:1] |
Generators of the group modulo torsion |
j |
109760/117 |
j-invariant |
L |
10.809087633833 |
L(r)(E,1)/r! |
Ω |
0.86363123911602 |
Real period |
R |
1.5644824932253 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000219 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
93600bk1 31200u1 93600ca1 |
Quadratic twists by: -4 -3 5 |