Atkin-Lehner |
2+ 3- 7- 23- 41- |
Signs for the Atkin-Lehner involutions |
Class |
118818u |
Isogeny class |
Conductor |
118818 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
197685197567470368 = 25 · 310 · 76 · 232 · 412 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- -2 -2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-65813427,-205487353643] |
[a1,a2,a3,a4,a6] |
Generators |
[75822:1149947:8] |
Generators of the group modulo torsion |
j |
43245378712584156245208625/271173110517792 |
j-invariant |
L |
4.3139695067909 |
L(r)(E,1)/r! |
Ω |
0.0530054990898 |
Real period |
R |
6.7822672513337 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999522082 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
39606k2 |
Quadratic twists by: -3 |