Atkin-Lehner |
2+ 3- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
31824f |
Isogeny class |
Conductor |
31824 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
308202207835392 = 28 · 38 · 133 · 174 |
Discriminant |
Eigenvalues |
2+ 3- 0 4 -2 13+ 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-102855,12668438] |
[a1,a2,a3,a4,a6] |
j |
644811009586000/1651460733 |
j-invariant |
L |
2.1851174755216 |
L(r)(E,1)/r! |
Ω |
0.54627936887867 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15912n2 127296cv2 10608c2 |
Quadratic twists by: -4 8 -3 |