Atkin-Lehner |
2+ 3- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
11328d |
Isogeny class |
Conductor |
11328 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
2660917837824 = 220 · 36 · 592 |
Discriminant |
Eigenvalues |
2+ 3- -2 0 -4 6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3489,10431] |
[a1,a2,a3,a4,a6] |
j |
17923019113/10150596 |
j-invariant |
L |
2.0897868984755 |
L(r)(E,1)/r! |
Ω |
0.69659563282516 |
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 |
11328o2 354d2 33984w2 |
Quadratic twists by: -4 8 -3 |