Atkin-Lehner |
2- 3- 11+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
15312r |
Isogeny class |
Conductor |
15312 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
31691130273792 = 220 · 33 · 113 · 292 |
Discriminant |
Eigenvalues |
2- 3- -2 2 11+ 2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-9504,228852] |
[a1,a2,a3,a4,a6] |
Generators |
[-102:384:1] |
Generators of the group modulo torsion |
j |
23180817201697/7737092352 |
j-invariant |
L |
5.633925541176 |
L(r)(E,1)/r! |
Ω |
0.60656940105095 |
Real period |
R |
1.5480299345287 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1914l1 61248bx1 45936bw1 |
Quadratic twists by: -4 8 -3 |