Atkin-Lehner |
2+ 3- 5- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
18810j |
Isogeny class |
Conductor |
18810 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
97280 |
Modular degree for the optimal curve |
Δ |
-8786914836480 = -1 · 220 · 36 · 5 · 112 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 5- 4 11- 6 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-33774,2401748] |
[a1,a2,a3,a4,a6] |
j |
-5844547788286689/12053381120 |
j-invariant |
L |
2.9351196670494 |
L(r)(E,1)/r! |
Ω |
0.73377991676235 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2090j1 94050de1 |
Quadratic twists by: -3 5 |