Atkin-Lehner |
2+ 5- 11- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
22550p |
Isogeny class |
Conductor |
22550 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
Δ |
151626200000000 = 29 · 58 · 11 · 413 |
Discriminant |
Eigenvalues |
2+ -2 5- 2 11- 2 -3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-39076,-2916702] |
[a1,a2,a3,a4,a6] |
Generators |
[-6988:17931:64] |
Generators of the group modulo torsion |
j |
16891880625625/388163072 |
j-invariant |
L |
2.4888747572592 |
L(r)(E,1)/r! |
Ω |
0.34004081813852 |
Real period |
R |
7.3193411628755 |
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 |
22550ba2 |
Quadratic twists by: 5 |