Atkin-Lehner |
3- 7- 19+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
49077c |
Isogeny class |
Conductor |
49077 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
41472 |
Modular degree for the optimal curve |
Δ |
1235587139577 = 37 · 72 · 193 · 412 |
Discriminant |
Eigenvalues |
1 3- 0 7- 2 2 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2997,34344] |
[a1,a2,a3,a4,a6] |
j |
4084490796625/1694906913 |
j-invariant |
L |
3.1240593288434 |
L(r)(E,1)/r! |
Ω |
0.78101483210505 |
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 |
16359d1 |
Quadratic twists by: -3 |