Atkin-Lehner |
2- 3- 5+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
21360m |
Isogeny class |
Conductor |
21360 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
6336 |
Modular degree for the optimal curve |
Δ |
-15379200 = -1 · 28 · 33 · 52 · 89 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 0 -6 -4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,59,95] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:6:1] [2:15:1] |
Generators of the group modulo torsion |
j |
87228416/60075 |
j-invariant |
L |
7.639390829117 |
L(r)(E,1)/r! |
Ω |
1.3960668796076 |
Real period |
R |
0.45600673701635 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999993 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5340a1 85440bg1 64080bf1 106800bh1 |
Quadratic twists by: -4 8 -3 5 |