Atkin-Lehner |
2- 17- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
11288c |
Isogeny class |
Conductor |
11288 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
5568 |
Modular degree for the optimal curve |
Δ |
34657952768 = 210 · 173 · 832 |
Discriminant |
Eigenvalues |
2- 0 2 -2 0 2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1859,-29522] |
[a1,a2,a3,a4,a6] |
Generators |
[-21:16:1] |
Generators of the group modulo torsion |
j |
693844140132/33845657 |
j-invariant |
L |
4.716230427869 |
L(r)(E,1)/r! |
Ω |
0.72927608982588 |
Real period |
R |
2.1556675602309 |
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 |
22576b1 90304h1 101592c1 |
Quadratic twists by: -4 8 -3 |