Atkin-Lehner |
2+ 3- 19- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
80712f |
Isogeny class |
Conductor |
80712 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
86016 |
Modular degree for the optimal curve |
Δ |
1333057471488 = 210 · 39 · 19 · 592 |
Discriminant |
Eigenvalues |
2+ 3- 0 0 6 2 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2955,-27146] |
[a1,a2,a3,a4,a6] |
Generators |
[335:6048:1] |
Generators of the group modulo torsion |
j |
3822686500/1785753 |
j-invariant |
L |
7.944363172838 |
L(r)(E,1)/r! |
Ω |
0.67746080836358 |
Real period |
R |
2.9316689152901 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000014 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
26904e1 |
Quadratic twists by: -3 |