Atkin-Lehner |
2- 23- 41- |
Signs for the Atkin-Lehner involutions |
Class |
60352p |
Isogeny class |
Conductor |
60352 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
-10135273472 = -1 · 218 · 23 · 412 |
Discriminant |
Eigenvalues |
2- 0 2 -2 2 -6 8 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-844,-10608] |
[a1,a2,a3,a4,a6] |
j |
-253636137/38663 |
j-invariant |
L |
0.87837018110177 |
L(r)(E,1)/r! |
Ω |
0.43918508890789 |
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 |
60352d1 15088f1 |
Quadratic twists by: -4 8 |