Atkin-Lehner |
2+ 3- 5+ 11+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
81840r |
Isogeny class |
Conductor |
81840 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-9513900000000 = -1 · 28 · 32 · 58 · 11 · 312 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 11+ -4 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-19316,1037484] |
[a1,a2,a3,a4,a6] |
Generators |
[82:108:1] |
Generators of the group modulo torsion |
j |
-3113564167061584/37163671875 |
j-invariant |
L |
8.1946799371418 |
L(r)(E,1)/r! |
Ω |
0.73067651502809 |
Real period |
R |
2.8037988670056 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999965936 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
40920f2 |
Quadratic twists by: -4 |