Atkin-Lehner |
2- 3+ 7+ 13+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
36582h |
Isogeny class |
Conductor |
36582 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
15872 |
Modular degree for the optimal curve |
Δ |
14047488 = 28 · 32 · 7 · 13 · 67 |
Discriminant |
Eigenvalues |
2- 3+ 4 7+ 0 13+ 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-111,-459] |
[a1,a2,a3,a4,a6] |
j |
151334226289/14047488 |
j-invariant |
L |
5.9181146242338 |
L(r)(E,1)/r! |
Ω |
1.4795286560594 |
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 |
109746e1 |
Quadratic twists by: -3 |