Atkin-Lehner |
2+ 5- 11- 41- |
Signs for the Atkin-Lehner involutions |
Class |
22550q |
Isogeny class |
Conductor |
22550 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
63000 |
Modular degree for the optimal curve |
Δ |
-6372091055000 = -1 · 23 · 54 · 11 · 415 |
Discriminant |
Eigenvalues |
2+ 1 5- -3 11- 6 7 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-2251,-128402] |
[a1,a2,a3,a4,a6] |
j |
-2016939204025/10195345688 |
j-invariant |
L |
1.563594300109 |
L(r)(E,1)/r! |
Ω |
0.31271886002181 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
22550bb2 |
Quadratic twists by: 5 |