Atkin-Lehner |
2+ 11- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
5456b |
Isogeny class |
Conductor |
5456 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2112 |
Modular degree for the optimal curve |
Δ |
-57675376 = -1 · 24 · 112 · 313 |
Discriminant |
Eigenvalues |
2+ 0 -3 5 11- -6 0 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-119,-619] |
[a1,a2,a3,a4,a6] |
j |
-11647819008/3604711 |
j-invariant |
L |
1.4229223045411 |
L(r)(E,1)/r! |
Ω |
0.71146115227054 |
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 |
2728c1 21824p1 49104l1 60016b1 |
Quadratic twists by: -4 8 -3 -11 |