Atkin-Lehner |
2+ 3+ 17+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
33456a |
Isogeny class |
Conductor |
33456 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
1328152882176 = 210 · 33 · 17 · 414 |
Discriminant |
Eigenvalues |
2+ 3+ 2 0 4 -2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-10352,-398160] |
[a1,a2,a3,a4,a6] |
Generators |
[113377552:18862526215:4096] |
Generators of the group modulo torsion |
j |
119822533368772/1297024299 |
j-invariant |
L |
5.7128093973161 |
L(r)(E,1)/r! |
Ω |
0.47361342903365 |
Real period |
R |
12.062177816563 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16728i4 100368ba3 |
Quadratic twists by: -4 -3 |