Atkin-Lehner |
2+ 7+ 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
56672a |
Isogeny class |
Conductor |
56672 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
5760 |
Modular degree for the optimal curve |
Δ |
-906752 = -1 · 29 · 7 · 11 · 23 |
Discriminant |
Eigenvalues |
2+ -1 0 7+ 11+ -4 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-8,-44] |
[a1,a2,a3,a4,a6] |
Generators |
[5:4:1] [12:38:1] |
Generators of the group modulo torsion |
j |
-125000/1771 |
j-invariant |
L |
7.895654028887 |
L(r)(E,1)/r! |
Ω |
1.198154437169 |
Real period |
R |
3.294923335403 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999966 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
56672p1 113344dg1 |
Quadratic twists by: -4 8 |