Atkin-Lehner |
2+ 5+ 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
39710d |
Isogeny class |
Conductor |
39710 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1094400 |
Modular degree for the optimal curve |
Δ |
-567061933819166720 = -1 · 220 · 5 · 112 · 197 |
Discriminant |
Eigenvalues |
2+ 0 5+ 4 11+ -6 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1354720,608326656] |
[a1,a2,a3,a4,a6] |
Generators |
[-805:34706:1] [537:5688:1] |
Generators of the group modulo torsion |
j |
-5844547788286689/12053381120 |
j-invariant |
L |
6.7965215034419 |
L(r)(E,1)/r! |
Ω |
0.29157457281487 |
Real period |
R |
5.8274298731087 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2090j1 |
Quadratic twists by: -19 |