Atkin-Lehner |
2+ 3- 11+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
112464d |
Isogeny class |
Conductor |
112464 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
82984520653056 = 28 · 312 · 112 · 712 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 11+ 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-11559,191590] |
[a1,a2,a3,a4,a6] |
Generators |
[203335:1878120:1331] |
Generators of the group modulo torsion |
j |
915202103632/444661569 |
j-invariant |
L |
8.9073057379852 |
L(r)(E,1)/r! |
Ω |
0.54032927648966 |
Real period |
R |
8.242479266735 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000023165 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
56232f2 37488l2 |
Quadratic twists by: -4 -3 |