Atkin-Lehner |
2- 3+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
99372g |
Isogeny class |
Conductor |
99372 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
448771169548945152 = 28 · 32 · 79 · 136 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- 6 13+ 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-15140428,22680444760] |
[a1,a2,a3,a4,a6] |
Generators |
[2218:2358:1] |
Generators of the group modulo torsion |
j |
2640279346000/3087 |
j-invariant |
L |
6.255434676446 |
L(r)(E,1)/r! |
Ω |
0.25052730549519 |
Real period |
R |
4.1615122220356 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000022084 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14196h4 588b4 |
Quadratic twists by: -7 13 |