Atkin-Lehner |
2- 3- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
121680dd |
Isogeny class |
Conductor |
121680 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
1032192 |
Modular degree for the optimal curve |
Δ |
134903568805724160 = 216 · 38 · 5 · 137 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 0 13+ 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-329043,70466578] |
[a1,a2,a3,a4,a6] |
Generators |
[-273:11830:1] |
Generators of the group modulo torsion |
j |
273359449/9360 |
j-invariant |
L |
7.0707858879433 |
L(r)(E,1)/r! |
Ω |
0.32606096345766 |
Real period |
R |
2.7106840026948 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999824061 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15210h1 40560cq1 9360bs1 |
Quadratic twists by: -4 -3 13 |