Atkin-Lehner |
2+ 7+ 13+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
10738a |
Isogeny class |
Conductor |
10738 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1392 |
Modular degree for the optimal curve |
Δ |
85904 = 24 · 7 · 13 · 59 |
Discriminant |
Eigenvalues |
2+ 0 -2 7+ -4 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-113,-435] |
[a1,a2,a3,a4,a6] |
Generators |
[30:135:1] |
Generators of the group modulo torsion |
j |
160368517737/85904 |
j-invariant |
L |
2.1131742579235 |
L(r)(E,1)/r! |
Ω |
1.463739863975 |
Real period |
R |
2.8873631304745 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
85904v1 96642bq1 75166h1 |
Quadratic twists by: -4 -3 -7 |