Atkin-Lehner |
2- 3- 5+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
123840ez |
Isogeny class |
Conductor |
123840 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
1310720 |
Modular degree for the optimal curve |
Δ |
48750854400000000 = 214 · 311 · 58 · 43 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 0 -6 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-155388,-21047312] |
[a1,a2,a3,a4,a6] |
Generators |
[-262:1296:1] |
Generators of the group modulo torsion |
j |
34739908901584/4081640625 |
j-invariant |
L |
3.544873012297 |
L(r)(E,1)/r! |
Ω |
0.24230582008002 |
Real period |
R |
1.8287184353887 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000143414 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
123840cf1 30960q1 41280dl1 |
Quadratic twists by: -4 8 -3 |