Atkin-Lehner |
2- 23- 41- |
Signs for the Atkin-Lehner involutions |
Class |
15088f |
Isogeny class |
Conductor |
15088 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
4608 |
Modular degree for the optimal curve |
Δ |
-158363648 = -1 · 212 · 23 · 412 |
Discriminant |
Eigenvalues |
2- 0 -2 -2 -2 6 8 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-211,-1326] |
[a1,a2,a3,a4,a6] |
j |
-253636137/38663 |
j-invariant |
L |
1.2422030182511 |
L(r)(E,1)/r! |
Ω |
0.62110150912557 |
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 |
943a1 60352p1 |
Quadratic twists by: -4 8 |