Atkin-Lehner |
2- 7- 17+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
127568bf |
Isogeny class |
Conductor |
127568 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
288000 |
Modular degree for the optimal curve |
Δ |
-3237230882816 = -1 · 212 · 74 · 173 · 67 |
Discriminant |
Eigenvalues |
2- -3 -2 7- 3 0 17+ 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,464,-86480] |
[a1,a2,a3,a4,a6] |
j |
2697228288/790339571 |
j-invariant |
L |
1.496148433174 |
L(r)(E,1)/r! |
Ω |
0.37403722061052 |
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 |
7973b1 |
Quadratic twists by: -4 |