Atkin-Lehner |
2- 3- 5- 13+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
22620i |
Isogeny class |
Conductor |
22620 |
Conductor |
∏ cp |
240 |
Product of Tamagawa factors cp |
Δ |
-1534082199955718400 = -1 · 28 · 310 · 52 · 136 · 292 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 0 13+ -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,208740,-46873692] |
[a1,a2,a3,a4,a6] |
Generators |
[336:7830:1] |
Generators of the group modulo torsion |
j |
3929150857812183344/5992508593577025 |
j-invariant |
L |
6.8082028972038 |
L(r)(E,1)/r! |
Ω |
0.14172051013004 |
Real period |
R |
0.8006607383971 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
90480bf2 67860d2 113100i2 |
Quadratic twists by: -4 -3 5 |