Atkin-Lehner |
2- 3+ 5+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
123840ds |
Isogeny class |
Conductor |
123840 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
15975360 = 26 · 33 · 5 · 432 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 -4 2 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-63,8] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:14:1] [8:4:1] |
Generators of the group modulo torsion |
j |
16003008/9245 |
j-invariant |
L |
9.7011458756522 |
L(r)(E,1)/r! |
Ω |
1.8718242410157 |
Real period |
R |
5.1827226429686 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999980234 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
123840dw1 61920l2 123840ec1 |
Quadratic twists by: -4 8 -3 |