Atkin-Lehner |
2+ 3- 5- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
106560cl |
Isogeny class |
Conductor |
106560 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
4772796825600000000 = 224 · 39 · 58 · 37 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 4 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-196418892,-1059553759376] |
[a1,a2,a3,a4,a6] |
Generators |
[334158:192992000:1] |
Generators of the group modulo torsion |
j |
4385367890843575421521/24975000000 |
j-invariant |
L |
8.5255226863962 |
L(r)(E,1)/r! |
Ω |
0.040327726642002 |
Real period |
R |
6.6064369907161 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999591128 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
106560fo4 3330f3 35520v4 |
Quadratic twists by: -4 8 -3 |