Atkin-Lehner |
2- 3- 19- 29- |
Signs for the Atkin-Lehner involutions |
Class |
26448u |
Isogeny class |
Conductor |
26448 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
-47713038336 = -1 · 212 · 36 · 19 · 292 |
Discriminant |
Eigenvalues |
2- 3- -3 1 5 -4 -7 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-437,-11229] |
[a1,a2,a3,a4,a6] |
Generators |
[46:261:1] |
Generators of the group modulo torsion |
j |
-2258403328/11648691 |
j-invariant |
L |
5.5656948238891 |
L(r)(E,1)/r! |
Ω |
0.47053020356247 |
Real period |
R |
0.98571334736683 |
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 |
1653a1 105792be1 79344bt1 |
Quadratic twists by: -4 8 -3 |