Atkin-Lehner |
2+ 5- 11+ 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
24310i |
Isogeny class |
Conductor |
24310 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
360668189052777320 = 23 · 5 · 1112 · 132 · 17 |
Discriminant |
Eigenvalues |
2+ 0 5- 0 11+ 13+ 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-649814,-199375572] |
[a1,a2,a3,a4,a6] |
j |
30345289110955815984441/360668189052777320 |
j-invariant |
L |
0.67309182099673 |
L(r)(E,1)/r! |
Ω |
0.16827295524919 |
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 |
121550bq3 |
Quadratic twists by: 5 |