Atkin-Lehner |
2- 3- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
113568cp |
Isogeny class |
Conductor |
113568 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
13340290539244032 = 29 · 33 · 7 · 1310 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ -4 13+ 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-350224,79464620] |
[a1,a2,a3,a4,a6] |
Generators |
[455:3810:1] |
Generators of the group modulo torsion |
j |
1922350562504/5398029 |
j-invariant |
L |
6.0317199936603 |
L(r)(E,1)/r! |
Ω |
0.39927208467584 |
Real period |
R |
5.0355970265101 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000044057 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
113568ca4 8736k3 |
Quadratic twists by: -4 13 |