Atkin-Lehner |
2- 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
59290cl |
Isogeny class |
Conductor |
59290 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
181440 |
Modular degree for the optimal curve |
Δ |
-204253932487220 = -1 · 22 · 5 · 78 · 116 |
Discriminant |
Eigenvalues |
2- 1 5+ 7+ 11- 4 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,14699,-46859] |
[a1,a2,a3,a4,a6] |
Generators |
[131892:5932145:64] |
Generators of the group modulo torsion |
j |
34391/20 |
j-invariant |
L |
10.71744068913 |
L(r)(E,1)/r! |
Ω |
0.333548283949 |
Real period |
R |
8.032900485916 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000027 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
59290ek1 490a1 |
Quadratic twists by: -7 -11 |