Atkin-Lehner |
2- 5- 17+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
87550s |
Isogeny class |
Conductor |
87550 |
Conductor |
∏ cp |
52 |
Product of Tamagawa factors cp |
deg |
183040 |
Modular degree for the optimal curve |
Δ |
-184681472000 = -1 · 213 · 53 · 17 · 1032 |
Discriminant |
Eigenvalues |
2- -1 5- -2 0 -5 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-17443,879681] |
[a1,a2,a3,a4,a6] |
Generators |
[69:-138:1] [75:-58:1] |
Generators of the group modulo torsion |
j |
-4695467053668677/1477451776 |
j-invariant |
L |
12.476423429107 |
L(r)(E,1)/r! |
Ω |
0.98988914132442 |
Real period |
R |
0.24238190902642 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999996575 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
87550h1 |
Quadratic twists by: 5 |