Atkin-Lehner |
3- 7- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
117117by |
Isogeny class |
Conductor |
117117 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
2370816 |
Modular degree for the optimal curve |
Δ |
-38783632439923371 = -1 · 36 · 72 · 113 · 138 |
Discriminant |
Eigenvalues |
-2 3- -3 7- 11- 13+ 8 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-302679,-64791178] |
[a1,a2,a3,a4,a6] |
j |
-871531204608/11022011 |
j-invariant |
L |
1.2203323668743 |
L(r)(E,1)/r! |
Ω |
0.10169440254571 |
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 |
13013m1 9009e1 |
Quadratic twists by: -3 13 |