Atkin-Lehner |
2+ 3- 71- |
Signs for the Atkin-Lehner involutions |
Class |
5112a |
Isogeny class |
Conductor |
5112 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
304809993216 = 210 · 310 · 712 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 0 -6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-15339,-730730] |
[a1,a2,a3,a4,a6] |
Generators |
[540430:10308240:1331] |
Generators of the group modulo torsion |
j |
534671911588/408321 |
j-invariant |
L |
4.2325555995916 |
L(r)(E,1)/r! |
Ω |
0.42901275291602 |
Real period |
R |
9.8658036872394 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
10224a2 40896x2 1704d2 127800bm2 |
Quadratic twists by: -4 8 -3 5 |