Atkin-Lehner |
2- 3+ 19- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
39216u |
Isogeny class |
Conductor |
39216 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-5756105937420288 = -1 · 215 · 36 · 194 · 432 |
Discriminant |
Eigenvalues |
2- 3+ -2 -2 -4 6 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-139024,20329408] |
[a1,a2,a3,a4,a6] |
Generators |
[82:3078:1] |
Generators of the group modulo torsion |
j |
-72549801357968017/1405299301128 |
j-invariant |
L |
3.7556069994266 |
L(r)(E,1)/r! |
Ω |
0.42708923162179 |
Real period |
R |
1.0991868681537 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999957 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4902l2 117648bx2 |
Quadratic twists by: -4 -3 |