Atkin-Lehner |
2+ 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
54080u |
Isogeny class |
Conductor |
54080 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-3.341233033216E+22 |
Discriminant |
Eigenvalues |
2+ -2 5+ 4 -2 13+ 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-8231201,-12650411201] |
[a1,a2,a3,a4,a6] |
Generators |
[292593929781:1359734800000:84604519] |
Generators of the group modulo torsion |
j |
-48743122863889/26406250000 |
j-invariant |
L |
4.8469590490622 |
L(r)(E,1)/r! |
Ω |
0.043466564969982 |
Real period |
R |
13.938756870752 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000156 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
54080ci2 1690e2 4160i2 |
Quadratic twists by: -4 8 13 |