Atkin-Lehner |
2+ 3- 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
110880bh |
Isogeny class |
Conductor |
110880 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
393216 |
Modular degree for the optimal curve |
Δ |
67779654465600 = 26 · 310 · 52 · 72 · 114 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 11+ 6 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-45813,3753412] |
[a1,a2,a3,a4,a6] |
Generators |
[-31:2268:1] |
Generators of the group modulo torsion |
j |
227919983840704/1452753225 |
j-invariant |
L |
7.0418595870701 |
L(r)(E,1)/r! |
Ω |
0.62132236235046 |
Real period |
R |
2.8334162857369 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999980637 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
110880da1 36960bx1 |
Quadratic twists by: -4 -3 |