Atkin-Lehner |
2+ 3- 5- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
106470cz |
Isogeny class |
Conductor |
106470 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-20184117700874400 = -1 · 25 · 314 · 52 · 74 · 133 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 2 13- 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-28404,-7072272] |
[a1,a2,a3,a4,a6] |
Generators |
[309:3531:1] |
Generators of the group modulo torsion |
j |
-1582388942077/12602368800 |
j-invariant |
L |
5.8685363936884 |
L(r)(E,1)/r! |
Ω |
0.16204364423372 |
Real period |
R |
2.2634860184815 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000040861 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
35490di2 106470el2 |
Quadratic twists by: -3 13 |