Atkin-Lehner |
2+ 5+ 13- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
34840b |
Isogeny class |
Conductor |
34840 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
8192 |
Modular degree for the optimal curve |
Δ |
-72467200 = -1 · 28 · 52 · 132 · 67 |
Discriminant |
Eigenvalues |
2+ -2 5+ 0 0 13- -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-161,835] |
[a1,a2,a3,a4,a6] |
Generators |
[27:130:1] [-13:30:1] |
Generators of the group modulo torsion |
j |
-1814078464/283075 |
j-invariant |
L |
6.0820408879859 |
L(r)(E,1)/r! |
Ω |
1.8752777233946 |
Real period |
R |
0.20270467182377 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999995 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
69680e1 |
Quadratic twists by: -4 |