Atkin-Lehner |
2- 5- 7- 61- |
Signs for the Atkin-Lehner involutions |
Class |
34160bi |
Isogeny class |
Conductor |
34160 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
15552 |
Modular degree for the optimal curve |
Δ |
-1708000000 = -1 · 28 · 56 · 7 · 61 |
Discriminant |
Eigenvalues |
2- -2 5- 7- -4 0 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-85,1983] |
[a1,a2,a3,a4,a6] |
Generators |
[11:50:1] |
Generators of the group modulo torsion |
j |
-268435456/6671875 |
j-invariant |
L |
3.8181867269859 |
L(r)(E,1)/r! |
Ω |
1.2513843519063 |
Real period |
R |
0.25426418890738 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8540f1 |
Quadratic twists by: -4 |