Atkin-Lehner |
2- 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
36800cy |
Isogeny class |
Conductor |
36800 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
-5750000000000 = -1 · 210 · 512 · 23 |
Discriminant |
Eigenvalues |
2- 3 5+ -2 0 1 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-18700,-991000] |
[a1,a2,a3,a4,a6] |
Generators |
[4172677205804205:-32355243565515575:22218850038897] |
Generators of the group modulo torsion |
j |
-45198971136/359375 |
j-invariant |
L |
9.9835116123855 |
L(r)(E,1)/r! |
Ω |
0.20403421852367 |
Real period |
R |
24.465287451838 |
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 |
36800q1 9200k1 7360q1 |
Quadratic twists by: -4 8 5 |