Atkin-Lehner |
2+ 3- 7+ 13+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
96642n |
Isogeny class |
Conductor |
96642 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
159744 |
Modular degree for the optimal curve |
Δ |
-21041669376 = -1 · 28 · 37 · 72 · 13 · 59 |
Discriminant |
Eigenvalues |
2+ 3- -3 7+ -3 13+ -8 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-5346,151956] |
[a1,a2,a3,a4,a6] |
Generators |
[36:-90:1] [-60:534:1] |
Generators of the group modulo torsion |
j |
-23180817201697/28863744 |
j-invariant |
L |
6.3025892612589 |
L(r)(E,1)/r! |
Ω |
1.2081612653172 |
Real period |
R |
0.3260424250585 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000582 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
32214x1 |
Quadratic twists by: -3 |