Atkin-Lehner |
2- 5- 19- |
Signs for the Atkin-Lehner involutions |
Class |
14440j |
Isogeny class |
Conductor |
14440 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
33967126082000 = 24 · 53 · 198 |
Discriminant |
Eigenvalues |
2- 2 5- 0 -4 -4 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-12755,-474100] |
[a1,a2,a3,a4,a6] |
j |
304900096/45125 |
j-invariant |
L |
2.7221182251445 |
L(r)(E,1)/r! |
Ω |
0.45368637085742 |
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 |
28880k1 115520n1 129960q1 72200i1 |
Quadratic twists by: -4 8 -3 5 |