Atkin-Lehner |
2- 5- 11+ 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
24310w |
Isogeny class |
Conductor |
24310 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
Δ |
227298500000 = 25 · 56 · 112 · 13 · 172 |
Discriminant |
Eigenvalues |
2- 0 5- 2 11+ 13+ 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1732,-15161] |
[a1,a2,a3,a4,a6] |
Generators |
[-23:121:1] |
Generators of the group modulo torsion |
j |
574291354380561/227298500000 |
j-invariant |
L |
8.7430557082715 |
L(r)(E,1)/r! |
Ω |
0.76569262603659 |
Real period |
R |
0.38061642539808 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
121550h2 |
Quadratic twists by: 5 |