Atkin-Lehner |
2- 3+ 19+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
39216q |
Isogeny class |
Conductor |
39216 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-1204766358994944 = -1 · 215 · 38 · 194 · 43 |
Discriminant |
Eigenvalues |
2- 3+ 2 4 -4 -6 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,19608,-1299600] |
[a1,a2,a3,a4,a6] |
Generators |
[9856135050:-139830286554:76765625] |
Generators of the group modulo torsion |
j |
203536128687767/294132411864 |
j-invariant |
L |
6.0364136594374 |
L(r)(E,1)/r! |
Ω |
0.25794636698602 |
Real period |
R |
11.700908467853 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4902f4 117648bj3 |
Quadratic twists by: -4 -3 |