Atkin-Lehner |
2- 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
21560k |
Isogeny class |
Conductor |
21560 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
3456 |
Modular degree for the optimal curve |
Δ |
-2112880 = -1 · 24 · 5 · 74 · 11 |
Discriminant |
Eigenvalues |
2- -2 5+ 7+ 11- 1 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-16,69] |
[a1,a2,a3,a4,a6] |
Generators |
[2:7:1] |
Generators of the group modulo torsion |
j |
-12544/55 |
j-invariant |
L |
2.7752875734797 |
L(r)(E,1)/r! |
Ω |
2.2707656102684 |
Real period |
R |
0.20369690593413 |
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 |
43120b1 107800d1 21560v1 |
Quadratic twists by: -4 5 -7 |