Atkin-Lehner |
2+ 3- 7- 13- 61- |
Signs for the Atkin-Lehner involutions |
Class |
99918n |
Isogeny class |
Conductor |
99918 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
Δ |
9110686998208068 = 22 · 38 · 76 · 13 · 613 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 0 13- 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-547092,155822940] |
[a1,a2,a3,a4,a6] |
Generators |
[-266:16940:1] |
Generators of the group modulo torsion |
j |
24841494669985890625/12497513029092 |
j-invariant |
L |
5.6131069924587 |
L(r)(E,1)/r! |
Ω |
0.40518114082652 |
Real period |
R |
3.463331849945 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999864113 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
33306s3 |
Quadratic twists by: -3 |