Atkin-Lehner |
2+ 3- 5+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
22560b |
Isogeny class |
Conductor |
22560 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2816 |
Modular degree for the optimal curve |
Δ |
-2120640 = -1 · 26 · 3 · 5 · 472 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 -2 -2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-26,-96] |
[a1,a2,a3,a4,a6] |
j |
-31554496/33135 |
j-invariant |
L |
1.0115017310631 |
L(r)(E,1)/r! |
Ω |
1.011501731063 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
22560n1 45120l1 67680bc1 112800br1 |
Quadratic twists by: -4 8 -3 5 |