Atkin-Lehner |
29- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
48749b |
Isogeny class |
Conductor |
48749 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
134400 |
Modular degree for the optimal curve |
Δ |
-231562831644509 = -1 · 29 · 418 |
Discriminant |
Eigenvalues |
1 1 3 0 -1 -3 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-52987,-4755737] |
[a1,a2,a3,a4,a6] |
j |
-3463512697/48749 |
j-invariant |
L |
2.8296790243065 |
L(r)(E,1)/r! |
Ω |
0.15720439025697 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1189a1 |
Quadratic twists by: 41 |