Atkin-Lehner |
2+ 3+ 5+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
16080a |
Isogeny class |
Conductor |
16080 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
30464 |
Modular degree for the optimal curve |
Δ |
3751142400 = 210 · 37 · 52 · 67 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 2 0 6 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-48856,4172800] |
[a1,a2,a3,a4,a6] |
Generators |
[108:380:1] |
Generators of the group modulo torsion |
j |
12594657614152036/3663225 |
j-invariant |
L |
4.48068628285 |
L(r)(E,1)/r! |
Ω |
1.1222409266395 |
Real period |
R |
1.9963121004092 |
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 |
8040j1 64320ct1 48240u1 80400bf1 |
Quadratic twists by: -4 8 -3 5 |