Atkin-Lehner |
2+ 3+ 11- 67- |
Signs for the Atkin-Lehner involutions |
Class |
17688b |
Isogeny class |
Conductor |
17688 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
11520 |
Modular degree for the optimal curve |
Δ |
18354766848 = 210 · 3 · 113 · 672 |
Discriminant |
Eigenvalues |
2+ 3+ 2 2 11- 2 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1152,-13188] |
[a1,a2,a3,a4,a6] |
Generators |
[-22:32:1] |
Generators of the group modulo torsion |
j |
165256339972/17924577 |
j-invariant |
L |
5.3774228848263 |
L(r)(E,1)/r! |
Ω |
0.82517924246084 |
Real period |
R |
2.1722241698623 |
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 |
35376g1 53064q1 |
Quadratic twists by: -4 -3 |