Atkin-Lehner |
2+ 5- 11+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
22550k |
Isogeny class |
Conductor |
22550 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
116640 |
Modular degree for the optimal curve |
Δ |
10914200000000 = 29 · 58 · 113 · 41 |
Discriminant |
Eigenvalues |
2+ 0 5- 4 11+ -2 -7 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-152492,-22881584] |
[a1,a2,a3,a4,a6] |
Generators |
[-24228467025:12833956649:107171875] |
Generators of the group modulo torsion |
j |
1003937000673465/27940352 |
j-invariant |
L |
3.8367800956793 |
L(r)(E,1)/r! |
Ω |
0.24159524438947 |
Real period |
R |
15.881024915764 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
22550s1 |
Quadratic twists by: 5 |