Atkin-Lehner |
2+ 5- 13+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
22360a |
Isogeny class |
Conductor |
22360 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
41600 |
Modular degree for the optimal curve |
Δ |
-152888780720 = -1 · 24 · 5 · 13 · 435 |
Discriminant |
Eigenvalues |
2+ 1 5- 2 -6 13+ 0 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-34895,2497430] |
[a1,a2,a3,a4,a6] |
j |
-293701242055899136/9555548795 |
j-invariant |
L |
1.9169855496751 |
L(r)(E,1)/r! |
Ω |
0.95849277483756 |
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 |
44720d1 111800n1 |
Quadratic twists by: -4 5 |