Atkin-Lehner |
2- 7+ 11- 67- |
Signs for the Atkin-Lehner involutions |
Class |
113498q |
Isogeny class |
Conductor |
113498 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
Δ |
1072905056568869216 = 25 · 710 · 116 · 67 |
Discriminant |
Eigenvalues |
2- -2 2 7+ 11- -2 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1341227,-595893935] |
[a1,a2,a3,a4,a6] |
j |
150617170289589193/605626933856 |
j-invariant |
L |
2.8064595912336 |
L(r)(E,1)/r! |
Ω |
0.14032305327302 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
938b2 |
Quadratic twists by: -11 |