Atkin-Lehner |
2- 3- 5+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
15840t |
Isogeny class |
Conductor |
15840 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
100800 |
Modular degree for the optimal curve |
Δ |
-22729836254400000 = -1 · 29 · 36 · 55 · 117 |
Discriminant |
Eigenvalues |
2- 3- 5+ -1 11+ -2 5 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-27003,-7452002] |
[a1,a2,a3,a4,a6] |
Generators |
[21266031:546908774:29791] |
Generators of the group modulo torsion |
j |
-5833944216008/60897409375 |
j-invariant |
L |
4.1772657988434 |
L(r)(E,1)/r! |
Ω |
0.16165581485018 |
Real period |
R |
12.920246026148 |
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 |
15840y1 31680dy1 1760g1 79200x1 |
Quadratic twists by: -4 8 -3 5 |