Atkin-Lehner |
2- 3- 5+ 23+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
97290ba |
Isogeny class |
Conductor |
97290 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
deg |
614400 |
Modular degree for the optimal curve |
Δ |
-1920065627520000 = -1 · 210 · 310 · 54 · 23 · 472 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 -2 -6 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-37913,-3528583] |
[a1,a2,a3,a4,a6] |
Generators |
[513:-10832:1] |
Generators of the group modulo torsion |
j |
-8267037303126601/2633834880000 |
j-invariant |
L |
8.0084169038292 |
L(r)(E,1)/r! |
Ω |
0.16833319753906 |
Real period |
R |
1.1893698034019 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000026606 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
32430r1 |
Quadratic twists by: -3 |