Atkin-Lehner |
2+ 3- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
122304dh |
Isogeny class |
Conductor |
122304 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
5775836950560768 = 219 · 3 · 710 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 4 13+ -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1307777,-576061473] |
[a1,a2,a3,a4,a6] |
Generators |
[2714975106:-2018249520435:4913] |
Generators of the group modulo torsion |
j |
8020417344913/187278 |
j-invariant |
L |
10.667418928268 |
L(r)(E,1)/r! |
Ω |
0.14117789809589 |
Real period |
R |
18.890029940374 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000037934 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
122304fi4 3822x3 17472o3 |
Quadratic twists by: -4 8 -7 |