Atkin-Lehner |
2- 3+ 7- 59- |
Signs for the Atkin-Lehner involutions |
Class |
69384v |
Isogeny class |
Conductor |
69384 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
123648 |
Modular degree for the optimal curve |
Δ |
-14159424900096 = -1 · 210 · 314 · 72 · 59 |
Discriminant |
Eigenvalues |
2- 3+ 1 7- 0 0 1 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-19560,-1061892] |
[a1,a2,a3,a4,a6] |
j |
-16495156100836/282195171 |
j-invariant |
L |
0.80657442418804 |
L(r)(E,1)/r! |
Ω |
0.20164360734809 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
69384x1 |
Quadratic twists by: -7 |