Atkin-Lehner |
2- 3- 5- 7+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
129150dt |
Isogeny class |
Conductor |
129150 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
393216 |
Modular degree for the optimal curve |
Δ |
13176027648000 = 212 · 37 · 53 · 7 · 412 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ -2 2 -4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-32135,2218367] |
[a1,a2,a3,a4,a6] |
Generators |
[79:370:1] |
Generators of the group modulo torsion |
j |
40272483611933/144592896 |
j-invariant |
L |
9.991458007997 |
L(r)(E,1)/r! |
Ω |
0.71150786317834 |
Real period |
R |
0.5851105478966 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998721195 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
43050ba1 129150bx1 |
Quadratic twists by: -3 5 |