Atkin-Lehner |
2- 3+ 5+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
31680cc |
Isogeny class |
Conductor |
31680 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-267632640000 = -1 · 217 · 33 · 54 · 112 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 11+ 4 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-588,25488] |
[a1,a2,a3,a4,a6] |
Generators |
[-14:176:1] [-11:175:1] |
Generators of the group modulo torsion |
j |
-6353046/75625 |
j-invariant |
L |
7.4746706584877 |
L(r)(E,1)/r! |
Ω |
0.83280421671312 |
Real period |
R |
1.1219129461165 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
31680b2 7920b2 31680cg2 |
Quadratic twists by: -4 8 -3 |