Atkin-Lehner |
2+ 7+ 13- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
11102b |
Isogeny class |
Conductor |
11102 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
22080 |
Modular degree for the optimal curve |
Δ |
896011489828 = 22 · 710 · 13 · 61 |
Discriminant |
Eigenvalues |
2+ 0 2 7+ -4 13- -4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-11221,458049] |
[a1,a2,a3,a4,a6] |
j |
156257247510931113/896011489828 |
j-invariant |
L |
0.89100331719382 |
L(r)(E,1)/r! |
Ω |
0.89100331719382 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
88816n1 99918w1 77714d1 |
Quadratic twists by: -4 -3 -7 |