Atkin-Lehner |
2- 3- 5+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
123840ev |
Isogeny class |
Conductor |
123840 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
983040 |
Modular degree for the optimal curve |
Δ |
12779743975833600 = 226 · 311 · 52 · 43 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 2 6 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-110028,12951952] |
[a1,a2,a3,a4,a6] |
Generators |
[-366:2048:1] |
Generators of the group modulo torsion |
j |
770842973809/66873600 |
j-invariant |
L |
8.9179189369702 |
L(r)(E,1)/r! |
Ω |
0.38947094743797 |
Real period |
R |
2.8621900505985 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999674106 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
123840ch1 30960cb1 41280di1 |
Quadratic twists by: -4 8 -3 |