Atkin-Lehner |
2+ 3+ 19+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
26448d |
Isogeny class |
Conductor |
26448 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
64512 |
Modular degree for the optimal curve |
Δ |
30094998930432 = 210 · 37 · 19 · 294 |
Discriminant |
Eigenvalues |
2+ 3+ 0 4 0 -4 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-11608,-398720] |
[a1,a2,a3,a4,a6] |
j |
168940341062500/29389647393 |
j-invariant |
L |
1.8616703994822 |
L(r)(E,1)/r! |
Ω |
0.46541759987059 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13224i1 105792bq1 79344f1 |
Quadratic twists by: -4 8 -3 |