Atkin-Lehner |
2+ 3- 17- 71- |
Signs for the Atkin-Lehner involutions |
Class |
57936h |
Isogeny class |
Conductor |
57936 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
49920 |
Modular degree for the optimal curve |
Δ |
173596649472 = 211 · 35 · 173 · 71 |
Discriminant |
Eigenvalues |
2+ 3- 0 -3 -3 -3 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1688,17076] |
[a1,a2,a3,a4,a6] |
Generators |
[106:-1020:1] [-41:138:1] |
Generators of the group modulo torsion |
j |
259877299250/84763989 |
j-invariant |
L |
10.699886638278 |
L(r)(E,1)/r! |
Ω |
0.93760386857873 |
Real period |
R |
0.19019913414143 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999985 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28968c1 |
Quadratic twists by: -4 |