Atkin-Lehner |
2+ 5- 11+ 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
24310i |
Isogeny class |
Conductor |
24310 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
23396308840590400 = 26 · 52 · 116 · 134 · 172 |
Discriminant |
Eigenvalues |
2+ 0 5- 0 11+ 13+ 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-75214,2998548] |
[a1,a2,a3,a4,a6] |
j |
47056867915469818041/23396308840590400 |
j-invariant |
L |
0.67309182099673 |
L(r)(E,1)/r! |
Ω |
0.33654591049838 |
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 |
121550bq2 |
Quadratic twists by: 5 |