Atkin-Lehner |
2- 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
6160f |
Isogeny class |
Conductor |
6160 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
13824 |
Modular degree for the optimal curve |
Δ |
-1696253870080 = -1 · 218 · 5 · 76 · 11 |
Discriminant |
Eigenvalues |
2- 2 5+ 7+ 11- 2 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-14616,-678160] |
[a1,a2,a3,a4,a6] |
Generators |
[38091492:1671914816:19683] |
Generators of the group modulo torsion |
j |
-84309998289049/414124480 |
j-invariant |
L |
5.108574711313 |
L(r)(E,1)/r! |
Ω |
0.21703628753427 |
Real period |
R |
11.768941427609 |
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 |
770b1 24640bs1 55440dw1 30800by1 |
Quadratic twists by: -4 8 -3 5 |