Atkin-Lehner |
2+ 5+ 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
32110h |
Isogeny class |
Conductor |
32110 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
449280 |
Modular degree for the optimal curve |
Δ |
-20314696841953280 = -1 · 218 · 5 · 138 · 19 |
Discriminant |
Eigenvalues |
2+ -3 5+ 2 1 13+ -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,5630,-6856940] |
[a1,a2,a3,a4,a6] |
j |
24191271/24903680 |
j-invariant |
L |
1.0741062892855 |
L(r)(E,1)/r! |
Ω |
0.17901771487951 |
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 |
32110be1 |
Quadratic twists by: 13 |