Atkin-Lehner |
2- 3- 43+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
48504k |
Isogeny class |
Conductor |
48504 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
23552 |
Modular degree for the optimal curve |
Δ |
3394503936 = 28 · 38 · 43 · 47 |
Discriminant |
Eigenvalues |
2- 3- -1 -2 2 -4 -7 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-556,4016] |
[a1,a2,a3,a4,a6] |
Generators |
[-25:54:1] [2:-54:1] |
Generators of the group modulo torsion |
j |
74385620944/13259781 |
j-invariant |
L |
10.169216228845 |
L(r)(E,1)/r! |
Ω |
1.3431785277306 |
Real period |
R |
0.23659401977514 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999991 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
97008h1 |
Quadratic twists by: -4 |