Atkin-Lehner |
2+ 3- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
31680s |
Isogeny class |
Conductor |
31680 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
532102348800 = 215 · 310 · 52 · 11 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 11- 2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-105708,13228432] |
[a1,a2,a3,a4,a6] |
Generators |
[26:3240:1] |
Generators of the group modulo torsion |
j |
5468520153032/22275 |
j-invariant |
L |
5.4744803230842 |
L(r)(E,1)/r! |
Ω |
0.81409128756996 |
Real period |
R |
0.84058145669164 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
31680g4 15840p3 10560y3 |
Quadratic twists by: -4 8 -3 |