Atkin-Lehner |
2- 3- 23- 29- |
Signs for the Atkin-Lehner involutions |
Class |
92046bl |
Isogeny class |
Conductor |
92046 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
17487360 |
Modular degree for the optimal curve |
Δ |
-54504445755576 = -1 · 23 · 3 · 238 · 29 |
Discriminant |
Eigenvalues |
2- 3- -3 -1 0 -2 -1 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-958137507,-11415446767239] |
[a1,a2,a3,a4,a6] |
Generators |
[114464008266502080799271967272440538981772187923022077585796913010010336144:14983046357329015669769801648616759375909138025826452129147427676117604652881:2570207059888641287384710022652018726265853306703625209601312768843139] |
Generators of the group modulo torsion |
j |
-657113243203147908283777/368184 |
j-invariant |
L |
9.2797969833982 |
L(r)(E,1)/r! |
Ω |
0.013567898896093 |
Real period |
R |
113.99206630378 |
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 |
4002p1 |
Quadratic twists by: -23 |