Atkin-Lehner |
2+ 13- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
3016b |
Isogeny class |
Conductor |
3016 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
18624 |
Modular degree for the optimal curve |
Δ |
-22390784 = -1 · 211 · 13 · 292 |
Discriminant |
Eigenvalues |
2+ -3 -1 -5 4 13- -1 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-161203,-24911954] |
[a1,a2,a3,a4,a6] |
j |
-226210687270871058/10933 |
j-invariant |
L |
0.23826281840005 |
L(r)(E,1)/r! |
Ω |
0.11913140920002 |
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 |
6032b1 24128g1 27144q1 75400n1 |
Quadratic twists by: -4 8 -3 5 |