Atkin-Lehner |
2- 3+ 5- 59- |
Signs for the Atkin-Lehner involutions |
Class |
42480bc |
Isogeny class |
Conductor |
42480 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
39168 |
Modular degree for the optimal curve |
Δ |
815616000 = 212 · 33 · 53 · 59 |
Discriminant |
Eigenvalues |
2- 3+ 5- -2 -3 5 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6432,-198544] |
[a1,a2,a3,a4,a6] |
j |
266095853568/7375 |
j-invariant |
L |
3.1986374546287 |
L(r)(E,1)/r! |
Ω |
0.5331062424482 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2655c1 42480s2 |
Quadratic twists by: -4 -3 |