Atkin-Lehner |
2+ 3- 5- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
32760u |
Isogeny class |
Conductor |
32760 |
Conductor |
∏ cp |
1536 |
Product of Tamagawa factors cp |
Δ |
8.9744567777406E+23 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 0 13- -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-107005107,423599361694] |
[a1,a2,a3,a4,a6] |
Generators |
[-9097:802620:1] |
Generators of the group modulo torsion |
j |
181513839777967159549636/1202210966668359375 |
j-invariant |
L |
6.6230300749137 |
L(r)(E,1)/r! |
Ω |
0.089087601020886 |
Real period |
R |
0.77440514530757 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
65520bg4 10920r3 |
Quadratic twists by: -4 -3 |