Atkin-Lehner |
2- 19+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
80408k |
Isogeny class |
Conductor |
80408 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
379776 |
Modular degree for the optimal curve |
Δ |
3047237059254272 = 211 · 19 · 238 |
Discriminant |
Eigenvalues |
2- 0 -2 -2 3 -5 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-158171,24066326] |
[a1,a2,a3,a4,a6] |
Generators |
[13732:5195:64] |
Generators of the group modulo torsion |
j |
2728674/19 |
j-invariant |
L |
3.4922407302408 |
L(r)(E,1)/r! |
Ω |
0.45243830248946 |
Real period |
R |
7.7187115083308 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999942893 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
80408o1 |
Quadratic twists by: -23 |