Atkin-Lehner |
2+ 13- 103- |
Signs for the Atkin-Lehner involutions |
Class |
21424d |
Isogeny class |
Conductor |
21424 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
5376 |
Modular degree for the optimal curve |
Δ |
-753096448 = -1 · 28 · 134 · 103 |
Discriminant |
Eigenvalues |
2+ 0 -2 0 4 13- 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-191,-1666] |
[a1,a2,a3,a4,a6] |
Generators |
[370:2379:8] |
Generators of the group modulo torsion |
j |
-3010120272/2941783 |
j-invariant |
L |
4.2887107748456 |
L(r)(E,1)/r! |
Ω |
0.61760612427912 |
Real period |
R |
3.4720435940069 |
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 |
10712b1 85696br1 |
Quadratic twists by: -4 8 |