Atkin-Lehner |
2- 3- 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
57498w |
Isogeny class |
Conductor |
57498 |
Conductor |
∏ cp |
320 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
-39526417760256 = -1 · 216 · 35 · 72 · 373 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 0 4 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,6021,243729] |
[a1,a2,a3,a4,a6] |
Generators |
[30:-687:1] |
Generators of the group modulo torsion |
j |
476562552731/780337152 |
j-invariant |
L |
10.625586122275 |
L(r)(E,1)/r! |
Ω |
0.44142518241336 |
Real period |
R |
0.30088864844584 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000016 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
57498m1 |
Quadratic twists by: 37 |