Atkin-Lehner |
2- 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
62192h |
Isogeny class |
Conductor |
62192 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
3535024549142528 = 213 · 138 · 232 |
Discriminant |
Eigenvalues |
2- 0 0 0 -2 13+ -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4873115,-4140549686] |
[a1,a2,a3,a4,a6] |
Generators |
[-1275:8:1] [1085565:-217336366:27] |
Generators of the group modulo torsion |
j |
647326865237625/178802 |
j-invariant |
L |
9.7190399239361 |
L(r)(E,1)/r! |
Ω |
0.10161267787096 |
Real period |
R |
23.911976653835 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999995 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7774c2 4784e2 |
Quadratic twists by: -4 13 |