Atkin-Lehner |
3+ 7+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
66759a |
Isogeny class |
Conductor |
66759 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
129024 |
Modular degree for the optimal curve |
Δ |
11279799782097 = 3 · 72 · 11 · 178 |
Discriminant |
Eigenvalues |
-1 3+ 0 7+ 11- -2 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-8098,-232642] |
[a1,a2,a3,a4,a6] |
j |
2433138625/467313 |
j-invariant |
L |
1.0199784163043 |
L(r)(E,1)/r! |
Ω |
0.50998920944824 |
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 |
3927e1 |
Quadratic twists by: 17 |