Atkin-Lehner |
2- 3- 11+ 17- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
97614bg |
Isogeny class |
Conductor |
97614 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
Δ |
14239039149472896 = 27 · 312 · 114 · 17 · 292 |
Discriminant |
Eigenvalues |
2- 3- 2 4 11+ 6 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-86684,-7949217] |
[a1,a2,a3,a4,a6] |
j |
98811687731698297/19532289642624 |
j-invariant |
L |
7.8981593876266 |
L(r)(E,1)/r! |
Ω |
0.28207713004096 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
32538f2 |
Quadratic twists by: -3 |