Atkin-Lehner |
2- 5+ 11+ 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
121550be |
Isogeny class |
Conductor |
121550 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
325740464192000000 = 212 · 56 · 116 · 132 · 17 |
Discriminant |
Eigenvalues |
2- 2 5+ 4 11+ 13+ 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-15678763,-23901999719] |
[a1,a2,a3,a4,a6] |
j |
27279667585959979515625/20847389708288 |
j-invariant |
L |
7.2835445962442 |
L(r)(E,1)/r! |
Ω |
0.075870269303151 |
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 |
4862c3 |
Quadratic twists by: 5 |