Atkin-Lehner |
3- 5- 47- |
Signs for the Atkin-Lehner involutions |
Class |
99405r |
Isogeny class |
Conductor |
99405 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
1907712 |
Modular degree for the optimal curve |
Δ |
138498095556572625 = 37 · 53 · 477 |
Discriminant |
Eigenvalues |
-1 3- 5- 0 4 -2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-7306682,7603814864] |
[a1,a2,a3,a4,a6] |
j |
5489965305721/17625 |
j-invariant |
L |
0.85745260823833 |
L(r)(E,1)/r! |
Ω |
0.28581762495335 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
33135h1 2115e1 |
Quadratic twists by: -3 -47 |