Atkin-Lehner |
2+ 3- 5+ 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
69090s |
Isogeny class |
Conductor |
69090 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-99423688140 = -1 · 22 · 38 · 5 · 73 · 472 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 0 -2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,191,15152] |
[a1,a2,a3,a4,a6] |
Generators |
[13:-148:1] [-17:92:1] |
Generators of the group modulo torsion |
j |
2263571297/289864980 |
j-invariant |
L |
8.8007547267345 |
L(r)(E,1)/r! |
Ω |
0.81840354025671 |
Real period |
R |
0.67209774074367 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999591 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
69090j2 |
Quadratic twists by: -7 |