Atkin-Lehner |
2- 3+ 17+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
120768cg |
Isogeny class |
Conductor |
120768 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
14584909824 = 212 · 32 · 172 · 372 |
Discriminant |
Eigenvalues |
2- 3+ -2 4 4 -2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1689,26649] |
[a1,a2,a3,a4,a6] |
j |
130169674432/3560769 |
j-invariant |
L |
2.4897286807876 |
L(r)(E,1)/r! |
Ω |
1.2448645578042 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
120768dg2 60384r1 |
Quadratic twists by: -4 8 |