Atkin-Lehner |
2+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
2366h |
Isogeny class |
Conductor |
2366 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
240 |
Modular degree for the optimal curve |
Δ |
-30758 = -1 · 2 · 7 · 133 |
Discriminant |
Eigenvalues |
2+ -1 -2 7- 5 13- 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-16,-34] |
[a1,a2,a3,a4,a6] |
Generators |
[5:4:1] |
Generators of the group modulo torsion |
j |
-226981/14 |
j-invariant |
L |
1.8176528061635 |
L(r)(E,1)/r! |
Ω |
1.1798143167682 |
Real period |
R |
0.77031308246132 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18928t1 75712bp1 21294cw1 59150br1 |
Quadratic twists by: -4 8 -3 5 |