Atkin-Lehner |
2- 3- 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
31680ds |
Isogeny class |
Conductor |
31680 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
157384050278400 = 216 · 38 · 52 · 114 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 11- 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-174252,-27990704] |
[a1,a2,a3,a4,a6] |
Generators |
[-240:76:1] |
Generators of the group modulo torsion |
j |
12247559771044/3294225 |
j-invariant |
L |
6.5312033938269 |
L(r)(E,1)/r! |
Ω |
0.23367493025243 |
Real period |
R |
3.4937441656511 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
31680be4 7920c3 10560ca4 |
Quadratic twists by: -4 8 -3 |