Atkin-Lehner |
2- 3- 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
31680eg |
Isogeny class |
Conductor |
31680 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1806520320 = 212 · 36 · 5 · 112 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 11- -4 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-372,1856] |
[a1,a2,a3,a4,a6] |
Generators |
[-20:36:1] |
Generators of the group modulo torsion |
j |
1906624/605 |
j-invariant |
L |
4.512593351524 |
L(r)(E,1)/r! |
Ω |
1.3741834724523 |
Real period |
R |
1.6419180706166 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
31680dp2 15840w1 3520s2 |
Quadratic twists by: -4 8 -3 |