Atkin-Lehner |
2- 7- 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
21658s |
Isogeny class |
Conductor |
21658 |
Conductor |
∏ cp |
19 |
Product of Tamagawa factors cp |
deg |
242592 |
Modular degree for the optimal curve |
Δ |
32729742719844352 = 219 · 710 · 13 · 17 |
Discriminant |
Eigenvalues |
2- 1 -2 7- 2 13+ 17- 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-609904,-183176960] |
[a1,a2,a3,a4,a6] |
j |
88823483499793/115867648 |
j-invariant |
L |
3.2461740456418 |
L(r)(E,1)/r! |
Ω |
0.1708512655601 |
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 |
21658o1 |
Quadratic twists by: -7 |