Atkin-Lehner |
2- 5- 59- |
Signs for the Atkin-Lehner involutions |
Class |
18880p |
Isogeny class |
Conductor |
18880 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
-1208320000 = -1 · 215 · 54 · 59 |
Discriminant |
Eigenvalues |
2- -2 5- 1 -3 -5 -5 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-65,1663] |
[a1,a2,a3,a4,a6] |
Generators |
[-14:5:1] [-9:40:1] |
Generators of the group modulo torsion |
j |
-941192/36875 |
j-invariant |
L |
5.6385561626684 |
L(r)(E,1)/r! |
Ω |
1.2786933585899 |
Real period |
R |
0.2756014628522 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18880m1 9440a1 94400ct1 |
Quadratic twists by: -4 8 5 |