Atkin-Lehner |
2- 3+ 5- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
68160cp |
Isogeny class |
Conductor |
68160 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
225280 |
Modular degree for the optimal curve |
Δ |
-6868957593600 = -1 · 216 · 310 · 52 · 71 |
Discriminant |
Eigenvalues |
2- 3+ 5- -4 6 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-12865,579937] |
[a1,a2,a3,a4,a6] |
Generators |
[29:480:1] |
Generators of the group modulo torsion |
j |
-3593411145796/104811975 |
j-invariant |
L |
5.7114921038283 |
L(r)(E,1)/r! |
Ω |
0.74525607333376 |
Real period |
R |
1.9159495333942 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999584 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
68160bs1 17040e1 |
Quadratic twists by: -4 8 |