Atkin-Lehner |
2+ 3+ 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
20160f |
Isogeny class |
Conductor |
20160 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
635304600000 = 26 · 33 · 55 · 76 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ -4 0 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-12843,-558892] |
[a1,a2,a3,a4,a6] |
Generators |
[-182546:90049:2744] |
Generators of the group modulo torsion |
j |
135574940230848/367653125 |
j-invariant |
L |
3.9214087299253 |
L(r)(E,1)/r! |
Ω |
0.44854262364845 |
Real period |
R |
8.7425553853244 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20160l1 10080bj2 20160p1 100800bf1 |
Quadratic twists by: -4 8 -3 5 |