Atkin-Lehner |
2- 3- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
35136bx |
Isogeny class |
Conductor |
35136 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
12288 |
Modular degree for the optimal curve |
Δ |
409826304 = 210 · 38 · 61 |
Discriminant |
Eigenvalues |
2- 3- -2 0 2 -2 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-696,7000] |
[a1,a2,a3,a4,a6] |
Generators |
[-22:108:1] |
Generators of the group modulo torsion |
j |
49948672/549 |
j-invariant |
L |
4.5580146231262 |
L(r)(E,1)/r! |
Ω |
1.6890714253674 |
Real period |
R |
1.3492663941475 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
35136o1 8784e1 11712bg1 |
Quadratic twists by: -4 8 -3 |