Atkin-Lehner |
2- 13+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
21424i |
Isogeny class |
Conductor |
21424 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
17920 |
Modular degree for the optimal curve |
Δ |
156644061184 = 212 · 135 · 103 |
Discriminant |
Eigenvalues |
2- 1 1 -4 4 13+ 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2200,34132] |
[a1,a2,a3,a4,a6] |
Generators |
[12:98:1] |
Generators of the group modulo torsion |
j |
287626699801/38243179 |
j-invariant |
L |
5.855663432463 |
L(r)(E,1)/r! |
Ω |
0.98676435078699 |
Real period |
R |
2.9671032540813 |
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 |
1339a1 85696cd1 |
Quadratic twists by: -4 8 |