Atkin-Lehner |
2+ 5- 11- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
32560g |
Isogeny class |
Conductor |
32560 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3584 |
Modular degree for the optimal curve |
Δ |
5730560 = 28 · 5 · 112 · 37 |
Discriminant |
Eigenvalues |
2+ 0 5- -2 11- -2 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-47,46] |
[a1,a2,a3,a4,a6] |
Generators |
[10:24:1] |
Generators of the group modulo torsion |
j |
44851536/22385 |
j-invariant |
L |
5.3429341757438 |
L(r)(E,1)/r! |
Ω |
2.1267087027261 |
Real period |
R |
2.5123018347059 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16280h1 |
Quadratic twists by: -4 |