Atkin-Lehner |
2+ 3- 5- 71- |
Signs for the Atkin-Lehner involutions |
Class |
68160bt |
Isogeny class |
Conductor |
68160 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
86016 |
Modular degree for the optimal curve |
Δ |
-16751001600 = -1 · 220 · 32 · 52 · 71 |
Discriminant |
Eigenvalues |
2+ 3- 5- -4 6 6 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-545,7743] |
[a1,a2,a3,a4,a6] |
j |
-68417929/63900 |
j-invariant |
L |
4.5076977914259 |
L(r)(E,1)/r! |
Ω |
1.1269244497201 |
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 |
68160co1 2130b1 |
Quadratic twists by: -4 8 |