Atkin-Lehner |
2- 3- 19- 89- |
Signs for the Atkin-Lehner involutions |
Class |
40584bc |
Isogeny class |
Conductor |
40584 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
13824 |
Modular degree for the optimal curve |
Δ |
5194752 = 210 · 3 · 19 · 89 |
Discriminant |
Eigenvalues |
2- 3- 0 -2 4 -2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1688,-27264] |
[a1,a2,a3,a4,a6] |
Generators |
[101549194440:-589255214523:1560896000] |
Generators of the group modulo torsion |
j |
519754598500/5073 |
j-invariant |
L |
6.9274160173526 |
L(r)(E,1)/r! |
Ω |
0.74479244097682 |
Real period |
R |
18.602272623139 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
81168b1 121752p1 |
Quadratic twists by: -4 -3 |