Atkin-Lehner |
29+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
48749a |
Isogeny class |
Conductor |
48749 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
172200 |
Modular degree for the optimal curve |
Δ |
231562831644509 = 29 · 418 |
Discriminant |
Eigenvalues |
1 2 -3 -3 4 3 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-24409,1262076] |
[a1,a2,a3,a4,a6] |
j |
201433/29 |
j-invariant |
L |
2.1425095717031 |
L(r)(E,1)/r! |
Ω |
0.53562739280849 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
48749c1 |
Quadratic twists by: 41 |