Atkin-Lehner |
2- 5- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
18400s |
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 |
[-2850:100:27] |
Generators of the group modulo torsion |
j |
2598592320/23 |
j-invariant |
L |
5.7069906719735 |
L(r)(E,1)/r! |
Ω |
0.35288937580534 |
Real period |
R |
1.3476817059523 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18400v1 36800de1 18400f1 |
Quadratic twists by: -4 8 5 |