Atkin-Lehner |
2- 3+ 19+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
81168bp |
Isogeny class |
Conductor |
81168 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-1416412212548861952 = -1 · 223 · 310 · 192 · 892 |
Discriminant |
Eigenvalues |
2- 3+ 0 2 4 6 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,37792,-57202944] |
[a1,a2,a3,a4,a6] |
Generators |
[7416813800:164919420063:12487168] |
Generators of the group modulo torsion |
j |
1457309849609375/345803762829312 |
j-invariant |
L |
6.8234782692001 |
L(r)(E,1)/r! |
Ω |
0.12693550800427 |
Real period |
R |
13.438868239958 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001516 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10146q2 |
Quadratic twists by: -4 |