Atkin-Lehner |
2+ 3- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
75504p |
Isogeny class |
Conductor |
75504 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
1152000 |
Modular degree for the optimal curve |
Δ |
-5177514842015053824 = -1 · 211 · 310 · 117 · 133 |
Discriminant |
Eigenvalues |
2+ 3- -1 3 11- 13+ 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-587616,-205242732] |
[a1,a2,a3,a4,a6] |
Generators |
[1668:-58806:1] |
Generators of the group modulo torsion |
j |
-6184708364018/1427037183 |
j-invariant |
L |
8.3491113295487 |
L(r)(E,1)/r! |
Ω |
0.085174219079842 |
Real period |
R |
1.2252990723733 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999991098 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
37752p1 6864g1 |
Quadratic twists by: -4 -11 |