Atkin-Lehner |
2- 5- 11+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
37840x |
Isogeny class |
Conductor |
37840 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
-5860659200 = -1 · 212 · 52 · 113 · 43 |
Discriminant |
Eigenvalues |
2- -1 5- -2 11+ -4 -4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5160,-141008] |
[a1,a2,a3,a4,a6] |
j |
-3710197529641/1430825 |
j-invariant |
L |
1.12654894385 |
L(r)(E,1)/r! |
Ω |
0.28163723596958 |
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 |
2365e1 |
Quadratic twists by: -4 |