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 |
73164072960000 = 214 · 310 · 54 · 112 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 11- 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-12252,-321104] |
[a1,a2,a3,a4,a6] |
Generators |
[-78:400:1] |
Generators of the group modulo torsion |
j |
17029316176/6125625 |
j-invariant |
L |
6.5312033938269 |
L(r)(E,1)/r! |
Ω |
0.46734986050485 |
Real period |
R |
1.7468720828255 |
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 |
31680be2 7920c2 10560ca2 |
Quadratic twists by: -4 8 -3 |