Atkin-Lehner |
2+ 5- 7+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
18550g |
Isogeny class |
Conductor |
18550 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
38880 |
Modular degree for the optimal curve |
Δ |
3635800000000 = 29 · 58 · 73 · 53 |
Discriminant |
Eigenvalues |
2+ -1 5- 7+ -4 -3 2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-14700,-686000] |
[a1,a2,a3,a4,a6] |
Generators |
[-65:45:1] |
Generators of the group modulo torsion |
j |
899418555625/9307648 |
j-invariant |
L |
2.2201189149589 |
L(r)(E,1)/r! |
Ω |
0.43384821649734 |
Real period |
R |
1.7057570140412 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18550o1 129850bc1 |
Quadratic twists by: 5 -7 |