Atkin-Lehner |
2- 3+ 5- 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
81840cm |
Isogeny class |
Conductor |
81840 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
418287513600 = 212 · 32 · 52 · 114 · 31 |
Discriminant |
Eigenvalues |
2- 3+ 5- 2 11- 4 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2040,17712] |
[a1,a2,a3,a4,a6] |
Generators |
[-46:110:1] |
Generators of the group modulo torsion |
j |
229333309561/102120975 |
j-invariant |
L |
6.5075531105826 |
L(r)(E,1)/r! |
Ω |
0.84867714590125 |
Real period |
R |
0.95848479349214 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999986744 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5115h2 |
Quadratic twists by: -4 |