Atkin-Lehner |
2+ 3- 5+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
55800t |
Isogeny class |
Conductor |
55800 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
-37068009750000 = -1 · 24 · 314 · 56 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -1 6 0 -4 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1725,-291625] |
[a1,a2,a3,a4,a6] |
Generators |
[691:18189:1] |
Generators of the group modulo torsion |
j |
3114752/203391 |
j-invariant |
L |
6.3868642609026 |
L(r)(E,1)/r! |
Ω |
0.31000391648574 |
Real period |
R |
5.1506319123876 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000057 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
111600x1 18600r1 2232l1 |
Quadratic twists by: -4 -3 5 |