Atkin-Lehner |
2+ 5+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
36800i |
Isogeny class |
Conductor |
36800 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
10240 |
Modular degree for the optimal curve |
Δ |
-368000000 = -1 · 210 · 56 · 23 |
Discriminant |
Eigenvalues |
2+ -1 5+ -2 4 -5 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-33,937] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:25:1] |
Generators of the group modulo torsion |
j |
-256/23 |
j-invariant |
L |
3.4554353561487 |
L(r)(E,1)/r! |
Ω |
1.3965806362313 |
Real period |
R |
1.2371055657315 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999987 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
36800cr1 4600a1 1472e1 |
Quadratic twists by: -4 8 5 |