Atkin-Lehner |
2- 5+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
18700g |
Isogeny class |
Conductor |
18700 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
714240 |
Modular degree for the optimal curve |
Δ |
4.8398216100781E+19 |
Discriminant |
Eigenvalues |
2- -2 5+ 2 11- -2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-7404033,-7749684812] |
[a1,a2,a3,a4,a6] |
Generators |
[25968:4160750:1] |
Generators of the group modulo torsion |
j |
179551401487197159424/193592864403125 |
j-invariant |
L |
3.7337825850708 |
L(r)(E,1)/r! |
Ω |
0.091529392107644 |
Real period |
R |
5.0991579031242 |
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 |
74800bf1 3740c1 |
Quadratic twists by: -4 5 |