Atkin-Lehner |
2- 3- 5- 11+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
81840di |
Isogeny class |
Conductor |
81840 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
86423040000 = 212 · 32 · 54 · 112 · 31 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 11+ -4 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2920,58100] |
[a1,a2,a3,a4,a6] |
Generators |
[-20:330:1] |
Generators of the group modulo torsion |
j |
672451615081/21099375 |
j-invariant |
L |
9.310752099957 |
L(r)(E,1)/r! |
Ω |
1.071401673023 |
Real period |
R |
1.0862816826576 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002758 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5115d2 |
Quadratic twists by: -4 |