Atkin-Lehner |
2+ 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
97216bb |
Isogeny class |
Conductor |
97216 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
14819090628608 = 217 · 76 · 312 |
Discriminant |
Eigenvalues |
2+ -2 2 7- -2 4 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-6337,56223] |
[a1,a2,a3,a4,a6] |
Generators |
[-53:496:1] |
Generators of the group modulo torsion |
j |
1825346/961 |
j-invariant |
L |
5.2112398419685 |
L(r)(E,1)/r! |
Ω |
0.6157033906822 |
Real period |
R |
1.0579850445382 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000015855 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
97216bs2 12152h2 1984d2 |
Quadratic twists by: -4 8 -7 |