Atkin-Lehner |
2+ 17- 83- |
Signs for the Atkin-Lehner involutions |
Class |
22576b |
Isogeny class |
Conductor |
22576 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
11136 |
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 |
[11:102:1] |
Generators of the group modulo torsion |
j |
693844140132/33845657 |
j-invariant |
L |
6.3503889449852 |
L(r)(E,1)/r! |
Ω |
1.1479947131957 |
Real period |
R |
0.9219538603547 |
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 |
11288c1 90304q1 |
Quadratic twists by: -4 8 |