Atkin-Lehner |
2- 3- 5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
32760bp |
Isogeny class |
Conductor |
32760 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
Δ |
1.5111230838207E+20 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -4 13+ -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3160947,2080660286] |
[a1,a2,a3,a4,a6] |
Generators |
[1627:35280:1] |
Generators of the group modulo torsion |
j |
4678944235881273796/202428825314625 |
j-invariant |
L |
5.8952693948011 |
L(r)(E,1)/r! |
Ω |
0.18095868463142 |
Real period |
R |
0.90494404025131 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
65520bd3 10920c3 |
Quadratic twists by: -4 -3 |