Atkin-Lehner |
2+ 3+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
80802b |
Isogeny class |
Conductor |
80802 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
32640 |
Modular degree for the optimal curve |
Δ |
-519718464 = -1 · 26 · 33 · 673 |
Discriminant |
Eigenvalues |
2+ 3+ 3 -3 0 0 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-138,-1228] |
[a1,a2,a3,a4,a6] |
Generators |
[17:25:1] |
Generators of the group modulo torsion |
j |
-35937/64 |
j-invariant |
L |
5.8316490399875 |
L(r)(E,1)/r! |
Ω |
0.65699449966163 |
Real period |
R |
1.1095315571506 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999965637 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
80802k1 80802j1 |
Quadratic twists by: -3 -67 |