Atkin-Lehner |
2+ 7+ 13+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
97006c |
Isogeny class |
Conductor |
97006 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
Δ |
-4.0263752516592E+24 |
Discriminant |
Eigenvalues |
2+ 1 0 7+ -6 13+ 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,9686569,-95841057986] |
[a1,a2,a3,a4,a6] |
Generators |
[4087:107590:1] [8269:737268:1] |
Generators of the group modulo torsion |
j |
20824452493149863375/834169168835812628 |
j-invariant |
L |
8.9572561973417 |
L(r)(E,1)/r! |
Ω |
0.037557836025119 |
Real period |
R |
3.3123936104196 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000273 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7462i3 |
Quadratic twists by: 13 |