Atkin-Lehner |
2- 3+ 5- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
22560q |
Isogeny class |
Conductor |
22560 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
-5847552000 = -1 · 212 · 35 · 53 · 47 |
Discriminant |
Eigenvalues |
2- 3+ 5- 5 4 -5 -5 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-65,-3663] |
[a1,a2,a3,a4,a6] |
Generators |
[19:40:1] |
Generators of the group modulo torsion |
j |
-7529536/1427625 |
j-invariant |
L |
5.8666631310862 |
L(r)(E,1)/r! |
Ω |
0.6007398951871 |
Real period |
R |
1.6276215319607 |
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 |
22560h1 45120y1 67680g1 112800be1 |
Quadratic twists by: -4 8 -3 5 |