Atkin-Lehner |
2- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
59290dm |
Isogeny class |
Conductor |
59290 |
Conductor |
∏ cp |
88 |
Product of Tamagawa factors cp |
deg |
506880 |
Modular degree for the optimal curve |
Δ |
-5102013593600 = -1 · 211 · 52 · 77 · 112 |
Discriminant |
Eigenvalues |
2- -3 5+ 7- 11- -3 -2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-113763,14797731] |
[a1,a2,a3,a4,a6] |
Generators |
[195:-78:1] [205:142:1] |
Generators of the group modulo torsion |
j |
-11437987859001/358400 |
j-invariant |
L |
8.8666688762084 |
L(r)(E,1)/r! |
Ω |
0.71486979247634 |
Real period |
R |
0.14094538883347 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000012 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8470bd1 59290bc1 |
Quadratic twists by: -7 -11 |