Atkin-Lehner |
2+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
18928f |
Isogeny class |
Conductor |
18928 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3840 |
Modular degree for the optimal curve |
Δ |
-8479744 = -1 · 210 · 72 · 132 |
Discriminant |
Eigenvalues |
2+ -2 -1 7- 2 13+ -3 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-56,196] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:14:1] [0:14:1] |
Generators of the group modulo torsion |
j |
-114244/49 |
j-invariant |
L |
5.3857783285569 |
L(r)(E,1)/r! |
Ω |
2.1762226436059 |
Real period |
R |
0.6187071833368 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9464a1 75712cv1 18928c1 |
Quadratic twists by: -4 8 13 |