Atkin-Lehner |
2- 3- 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
3060k |
Isogeny class |
Conductor |
3060 |
Conductor |
∏ cp |
84 |
Product of Tamagawa factors cp |
deg |
53760 |
Modular degree for the optimal curve |
Δ |
666847516691250000 = 24 · 322 · 57 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 2 2 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3964692,-3038267351] |
[a1,a2,a3,a4,a6] |
j |
590887175978458660864/57171426328125 |
j-invariant |
L |
2.2468237563846 |
L(r)(E,1)/r! |
Ω |
0.10699160744689 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12240bv1 48960bf1 1020f1 15300s1 |
Quadratic twists by: -4 8 -3 5 |