Atkin-Lehner |
2+ 3+ 5- 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
81840k |
Isogeny class |
Conductor |
81840 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-11048400000000 = -1 · 210 · 34 · 58 · 11 · 31 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 0 11- -6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,5400,-49248] |
[a1,a2,a3,a4,a6] |
Generators |
[14:170:1] [54:630:1] |
Generators of the group modulo torsion |
j |
17002962914396/10789453125 |
j-invariant |
L |
9.9007845192853 |
L(r)(E,1)/r! |
Ω |
0.41266249674721 |
Real period |
R |
2.9990563103845 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998538 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
40920r3 |
Quadratic twists by: -4 |