Atkin-Lehner |
2- 3- 5- 13- 41- |
Signs for the Atkin-Lehner involutions |
Class |
47970bo |
Isogeny class |
Conductor |
47970 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
745563171600 = 24 · 38 · 52 · 132 · 412 |
Discriminant |
Eigenvalues |
2- 3- 5- 4 4 13- -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-7412,243911] |
[a1,a2,a3,a4,a6] |
j |
61765716432889/1022720400 |
j-invariant |
L |
7.2112168085121 |
L(r)(E,1)/r! |
Ω |
0.90140210106462 |
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 |
15990i2 |
Quadratic twists by: -3 |