Atkin-Lehner |
2- 5- 11+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
18260c |
Isogeny class |
Conductor |
18260 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
9360 |
Modular degree for the optimal curve |
Δ |
-17110058240 = -1 · 28 · 5 · 115 · 83 |
Discriminant |
Eigenvalues |
2- 1 5- 2 11+ 2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-340,6628] |
[a1,a2,a3,a4,a6] |
j |
-17029316176/66836165 |
j-invariant |
L |
3.2278182369574 |
L(r)(E,1)/r! |
Ω |
1.0759394123191 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
73040r1 91300a1 |
Quadratic twists by: -4 5 |