Atkin-Lehner |
2- 3+ 7- 19- 47- |
Signs for the Atkin-Lehner involutions |
Class |
112518w |
Isogeny class |
Conductor |
112518 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
Δ |
7766725291450272 = 25 · 39 · 7 · 192 · 474 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- -4 -2 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-55865,-2787911] |
[a1,a2,a3,a4,a6] |
Generators |
[-77:1064:1] |
Generators of the group modulo torsion |
j |
979590446080875/394590524384 |
j-invariant |
L |
9.4463896254112 |
L(r)(E,1)/r! |
Ω |
0.32158979633915 |
Real period |
R |
1.468701700403 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000001175 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
112518c2 |
Quadratic twists by: -3 |