Atkin-Lehner |
2- 3+ 37- 73- |
Signs for the Atkin-Lehner involutions |
Class |
129648s |
Isogeny class |
Conductor |
129648 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
143844885394176 = 28 · 3 · 376 · 73 |
Discriminant |
Eigenvalues |
2- 3+ 2 0 4 0 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-18052,739900] |
[a1,a2,a3,a4,a6] |
j |
2541462928126288/561894083571 |
j-invariant |
L |
3.2851008527615 |
L(r)(E,1)/r! |
Ω |
0.54751676990395 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
32412d2 |
Quadratic twists by: -4 |