Atkin-Lehner |
2- 3+ 5+ 11+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
67650bp |
Isogeny class |
Conductor |
67650 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
Δ |
-15948265608000000 = -1 · 29 · 34 · 56 · 114 · 412 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 11+ -4 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,45012,4856781] |
[a1,a2,a3,a4,a6] |
Generators |
[165:-4183:1] [-35:1817:1] |
Generators of the group modulo torsion |
j |
645487763368967/1020688998912 |
j-invariant |
L |
12.183967184932 |
L(r)(E,1)/r! |
Ω |
0.2671612875534 |
Real period |
R |
1.2668135268155 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000021 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2706e2 |
Quadratic twists by: 5 |