Atkin-Lehner |
2- 3- 13- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
57408dn |
Isogeny class |
Conductor |
57408 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
35840 |
Modular degree for the optimal curve |
Δ |
106951104 = 26 · 35 · 13 · 232 |
Discriminant |
Eigenvalues |
2- 3- -2 0 -2 13- -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4204,103526] |
[a1,a2,a3,a4,a6] |
Generators |
[-55:414:1] [41:42:1] |
Generators of the group modulo torsion |
j |
128420737945408/1671111 |
j-invariant |
L |
10.592510032792 |
L(r)(E,1)/r! |
Ω |
1.713355904364 |
Real period |
R |
2.4729269629993 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
57408cs1 28704a2 |
Quadratic twists by: -4 8 |