Atkin-Lehner |
2+ 3- 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
41454w |
Isogeny class |
Conductor |
41454 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
57600 |
Modular degree for the optimal curve |
Δ |
-198273196926 = -1 · 2 · 316 · 72 · 47 |
Discriminant |
Eigenvalues |
2+ 3- 1 7- 3 -5 7 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-324,21622] |
[a1,a2,a3,a4,a6] |
j |
-105484561/5550606 |
j-invariant |
L |
1.6648883527911 |
L(r)(E,1)/r! |
Ω |
0.83244417638562 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13818m1 41454d1 |
Quadratic twists by: -3 -7 |