Atkin-Lehner |
2- 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
36800co |
Isogeny class |
Conductor |
36800 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
5376 |
Modular degree for the optimal curve |
Δ |
36800 = 26 · 52 · 23 |
Discriminant |
Eigenvalues |
2- 0 5+ -3 -5 1 4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-335,-2360] |
[a1,a2,a3,a4,a6] |
Generators |
[-1320:16:125] |
Generators of the group modulo torsion |
j |
2598592320/23 |
j-invariant |
L |
3.8229034669486 |
L(r)(E,1)/r! |
Ω |
1.11593418962 |
Real period |
R |
3.4257427566136 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
36800bz1 18400f1 36800de1 |
Quadratic twists by: -4 8 5 |