Atkin-Lehner |
2- 11- 61- |
Signs for the Atkin-Lehner involutions |
Class |
21472h |
Isogeny class |
Conductor |
21472 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
40320 |
Modular degree for the optimal curve |
Δ |
-167653376 = -1 · 212 · 11 · 612 |
Discriminant |
Eigenvalues |
2- 3 1 -2 11- 4 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-24952,1517072] |
[a1,a2,a3,a4,a6] |
j |
-419449662614016/40931 |
j-invariant |
L |
5.5741714921114 |
L(r)(E,1)/r! |
Ω |
1.3935428730278 |
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 |
21472e1 42944q1 |
Quadratic twists by: -4 8 |