Atkin-Lehner |
2+ 13- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
6032b |
Isogeny class |
Conductor |
6032 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
37248 |
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 |
4.6507018081225 |
L(r)(E,1)/r! |
Ω |
1.1626754520306 |
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 |
3016b1 24128s1 54288o1 78416d1 |
Quadratic twists by: -4 8 -3 13 |