Atkin-Lehner |
2- 5- 23- |
Signs for the Atkin-Lehner involutions |
Class |
18400v |
Isogeny class |
Conductor |
18400 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
26880 |
Modular degree for the optimal curve |
Δ |
36800000000 = 212 · 58 · 23 |
Discriminant |
Eigenvalues |
2- 0 5- -3 -5 1 -4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-33500,2360000] |
[a1,a2,a3,a4,a6] |
Generators |
[-179:1619:1] [50:900:1] |
Generators of the group modulo torsion |
j |
2598592320/23 |
j-invariant |
L |
6.5174318045122 |
L(r)(E,1)/r! |
Ω |
1.0414358054629 |
Real period |
R |
0.52151012495795 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18400s1 36800dn1 18400b1 |
Quadratic twists by: -4 8 5 |