Atkin-Lehner |
2+ 3- 5+ 11- 43- |
Signs for the Atkin-Lehner involutions |
Class |
42570k |
Isogeny class |
Conductor |
42570 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
466944 |
Modular degree for the optimal curve |
Δ |
18656848458547200 = 224 · 37 · 52 · 11 · 432 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 11- 6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-298305,-62290499] |
[a1,a2,a3,a4,a6] |
j |
4026971918382673681/25592384716800 |
j-invariant |
L |
1.6348978147233 |
L(r)(E,1)/r! |
Ω |
0.20436222682442 |
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 |
14190l1 |
Quadratic twists by: -3 |