Atkin-Lehner |
2- 5+ 17- 31- |
Signs for the Atkin-Lehner involutions |
Class |
21080h |
Isogeny class |
Conductor |
21080 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1792 |
Modular degree for the optimal curve |
Δ |
-674560 = -1 · 28 · 5 · 17 · 31 |
Discriminant |
Eigenvalues |
2- 0 5+ -1 -5 1 17- -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-23,58] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:10:1] [1:6:1] |
Generators of the group modulo torsion |
j |
-5256144/2635 |
j-invariant |
L |
6.7433328495448 |
L(r)(E,1)/r! |
Ω |
2.6737094572377 |
Real period |
R |
0.6305222161753 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42160e1 105400e1 |
Quadratic twists by: -4 5 |