Atkin-Lehner |
2- 3+ 5+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
124950fy |
Isogeny class |
Conductor |
124950 |
Conductor |
∏ cp |
168 |
Product of Tamagawa factors cp |
Δ |
49675117002000000 = 27 · 3 · 56 · 73 · 176 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -4 -2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-340488,75574281] |
[a1,a2,a3,a4,a6] |
Generators |
[-435:12117:1] [41:7833:1] |
Generators of the group modulo torsion |
j |
814544990575471/9268826496 |
j-invariant |
L |
14.869436477459 |
L(r)(E,1)/r! |
Ω |
0.35805681507946 |
Real period |
R |
0.98876543335577 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999976337 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4998r2 124950hq2 |
Quadratic twists by: 5 -7 |