Atkin-Lehner |
2- 13+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
21008h |
Isogeny class |
Conductor |
21008 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2208 |
Modular degree for the optimal curve |
Δ |
273104 = 24 · 132 · 101 |
Discriminant |
Eigenvalues |
2- -2 -2 0 0 13+ 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-29,46] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:10:1] |
Generators of the group modulo torsion |
j |
174456832/17069 |
j-invariant |
L |
2.8268175197587 |
L(r)(E,1)/r! |
Ω |
3.0076790080557 |
Real period |
R |
1.8797335168995 |
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 |
5252a1 84032s1 |
Quadratic twists by: -4 8 |