Atkin-Lehner |
2- 3- 5+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
35490cy |
Isogeny class |
Conductor |
35490 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
198671458440000 = 26 · 3 · 54 · 73 · 136 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 0 13+ -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-59358296,-176028284160] |
[a1,a2,a3,a4,a6] |
Generators |
[11808:-883104:1] |
Generators of the group modulo torsion |
j |
4791901410190533590281/41160000 |
j-invariant |
L |
9.1991825542841 |
L(r)(E,1)/r! |
Ω |
0.054391269866279 |
Real period |
R |
7.0470734372907 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
4.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
106470ce8 210b7 |
Quadratic twists by: -3 13 |