Atkin-Lehner |
2- 5+ 11- 41- |
Signs for the Atkin-Lehner involutions |
Class |
22550bb |
Isogeny class |
Conductor |
22550 |
Conductor |
∏ cp |
75 |
Product of Tamagawa factors cp |
deg |
63000 |
Modular degree for the optimal curve |
Δ |
-5409252147200 = -1 · 215 · 52 · 115 · 41 |
Discriminant |
Eigenvalues |
2- -1 5+ 3 11- -6 -7 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-3903,144421] |
[a1,a2,a3,a4,a6] |
j |
-263018509163545/216370085888 |
j-invariant |
L |
2.097781886565 |
L(r)(E,1)/r! |
Ω |
0.69926062885501 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
5 |
Number of elements in the torsion subgroup |
Twists |
22550q2 |
Quadratic twists by: 5 |