Atkin-Lehner |
2+ 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
58800dm |
Isogeny class |
Conductor |
58800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
-88236750000 = -1 · 24 · 3 · 56 · 76 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -4 -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,817,11388] |
[a1,a2,a3,a4,a6] |
Generators |
[876:7300:27] |
Generators of the group modulo torsion |
j |
2048/3 |
j-invariant |
L |
6.7435012436731 |
L(r)(E,1)/r! |
Ω |
0.72903534994918 |
Real period |
R |
4.6249480522856 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000124 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
29400n1 2352c1 1200a1 |
Quadratic twists by: -4 5 -7 |