Atkin-Lehner |
2+ 7+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
1246c |
Isogeny class |
Conductor |
1246 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
320 |
Modular degree for the optimal curve |
Δ |
-69776 = -1 · 24 · 72 · 89 |
Discriminant |
Eigenvalues |
2+ -3 -3 7+ 0 -6 -3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1,13] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:3:1] [-1:4:1] |
Generators of the group modulo torsion |
j |
-185193/69776 |
j-invariant |
L |
1.4307768390904 |
L(r)(E,1)/r! |
Ω |
2.8151302499742 |
Real period |
R |
0.12706133571456 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000012 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9968q1 39872j1 11214n1 31150z1 |
Quadratic twists by: -4 8 -3 5 |