Atkin-Lehner |
2+ 5- 13- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
120640bh |
Isogeny class |
Conductor |
120640 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
Δ |
1.1069758972755E+24 |
Discriminant |
Eigenvalues |
2+ 0 5- 0 -4 13- 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-68302412,-211292055184] |
[a1,a2,a3,a4,a6] |
Generators |
[49352:10799100:1] |
Generators of the group modulo torsion |
j |
134428672969921312593129/4222777928449681250 |
j-invariant |
L |
6.312764376668 |
L(r)(E,1)/r! |
Ω |
0.052616974086484 |
Real period |
R |
3.9991938379183 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000032586 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
120640cu4 3770a3 |
Quadratic twists by: -4 8 |