Atkin-Lehner |
2+ 3+ 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
24288f |
Isogeny class |
Conductor |
24288 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
249600 |
Modular degree for the optimal curve |
Δ |
258999987866171904 = 29 · 310 · 113 · 235 |
Discriminant |
Eigenvalues |
2+ 3+ 1 -1 11- 3 -5 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-296120,-56886156] |
[a1,a2,a3,a4,a6] |
Generators |
[2516:122958:1] |
Generators of the group modulo torsion |
j |
5608651298993519048/505859351301117 |
j-invariant |
L |
4.935367159482 |
L(r)(E,1)/r! |
Ω |
0.20583997639892 |
Real period |
R |
0.39961197413512 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24288h1 48576db1 72864y1 |
Quadratic twists by: -4 8 -3 |