Atkin-Lehner |
2- 3+ 5- 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
81840cl |
Isogeny class |
Conductor |
81840 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-150312262256640000 = -1 · 214 · 316 · 54 · 11 · 31 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 11- -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,61720,-17715600] |
[a1,a2,a3,a4,a6] |
Generators |
[8850415:83337822:42875] |
Generators of the group modulo torsion |
j |
6347964359974679/36697329652500 |
j-invariant |
L |
5.7102305364653 |
L(r)(E,1)/r! |
Ω |
0.16289089047277 |
Real period |
R |
8.7638886986461 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999275 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10230q4 |
Quadratic twists by: -4 |