Atkin-Lehner |
2- 7- 13+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
78988d |
Isogeny class |
Conductor |
78988 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
185472 |
Modular degree for the optimal curve |
Δ |
-903414601153792 = -1 · 28 · 710 · 13 · 312 |
Discriminant |
Eigenvalues |
2- 0 2 7- 1 13+ 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,2401,-1445402] |
[a1,a2,a3,a4,a6] |
Generators |
[351:6530:1] |
Generators of the group modulo torsion |
j |
21168/12493 |
j-invariant |
L |
7.1653872543941 |
L(r)(E,1)/r! |
Ω |
0.23278177026711 |
Real period |
R |
5.130260877299 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000971 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
78988c1 |
Quadratic twists by: -7 |