Atkin-Lehner |
3- 7- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
117117bt |
Isogeny class |
Conductor |
117117 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
817152 |
Modular degree for the optimal curve |
Δ |
-60945708119879583 = -1 · 36 · 7 · 114 · 138 |
Discriminant |
Eigenvalues |
-1 3- -2 7- 11- 13+ 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-23861,11968012] |
[a1,a2,a3,a4,a6] |
j |
-426957777/17320303 |
j-invariant |
L |
1.1660206190873 |
L(r)(E,1)/r! |
Ω |
0.2915050495926 |
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 |
13013i1 9009c1 |
Quadratic twists by: -3 13 |