Atkin-Lehner |
2+ 3- 11- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
80586j |
Isogeny class |
Conductor |
80586 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
594880 |
Modular degree for the optimal curve |
Δ |
-1174347321827328 = -1 · 213 · 37 · 116 · 37 |
Discriminant |
Eigenvalues |
2+ 3- -4 1 11- 3 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,1611,-1648971] |
[a1,a2,a3,a4,a6] |
Generators |
[129:768:1] |
Generators of the group modulo torsion |
j |
357911/909312 |
j-invariant |
L |
3.6145250707563 |
L(r)(E,1)/r! |
Ω |
0.22608999907384 |
Real period |
R |
3.9967768218824 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999970268 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
26862v1 666e1 |
Quadratic twists by: -3 -11 |