Atkin-Lehner |
2- 5- 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
8060b |
Isogeny class |
Conductor |
8060 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
deg |
8064 |
Modular degree for the optimal curve |
Δ |
-104780000000 = -1 · 28 · 57 · 132 · 31 |
Discriminant |
Eigenvalues |
2- -1 5- -4 -2 13+ -5 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-125,15625] |
[a1,a2,a3,a4,a6] |
Generators |
[80:-715:1] [-13:122:1] |
Generators of the group modulo torsion |
j |
-850518016/409296875 |
j-invariant |
L |
4.6530475999157 |
L(r)(E,1)/r! |
Ω |
0.85909613875424 |
Real period |
R |
0.12895745030088 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999964 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
32240l1 128960k1 72540r1 40300f1 |
Quadratic twists by: -4 8 -3 5 |