Atkin-Lehner |
2- 3- 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
31680ef |
Isogeny class |
Conductor |
31680 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
492687360000 = 215 · 37 · 54 · 11 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 11- -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-12972,-567664] |
[a1,a2,a3,a4,a6] |
Generators |
[-64:20:1] |
Generators of the group modulo torsion |
j |
10105715528/20625 |
j-invariant |
L |
4.8282530867045 |
L(r)(E,1)/r! |
Ω |
0.44740524412965 |
Real period |
R |
2.6979193639633 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
31680do4 15840v2 10560bl3 |
Quadratic twists by: -4 8 -3 |