Atkin-Lehner |
2- 3- 5+ 17+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
126990br |
Isogeny class |
Conductor |
126990 |
Conductor |
∏ cp |
272 |
Product of Tamagawa factors cp |
deg |
22978560 |
Modular degree for the optimal curve |
Δ |
6.6828241394983E+23 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 4 6 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-34089233,65749156481] |
[a1,a2,a3,a4,a6] |
j |
6009631758102331722584521/916711130246676480000 |
j-invariant |
L |
5.9169768770745 |
L(r)(E,1)/r! |
Ω |
0.087014369981989 |
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 |
42330r1 |
Quadratic twists by: -3 |