Atkin-Lehner |
2+ 3- 19- |
Signs for the Atkin-Lehner involutions |
Class |
10944y |
Isogeny class |
Conductor |
10944 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
3072 |
Modular degree for the optimal curve |
Δ |
170201088 = 212 · 37 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 0 0 0 0 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-660,6496] |
[a1,a2,a3,a4,a6] |
Generators |
[2:72:1] |
Generators of the group modulo torsion |
j |
10648000/57 |
j-invariant |
L |
4.6517903604014 |
L(r)(E,1)/r! |
Ω |
1.8195825053047 |
Real period |
R |
0.63912880383822 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10944k1 5472r1 3648o1 |
Quadratic twists by: -4 8 -3 |