Atkin-Lehner |
2+ 3- 5+ 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
7590k |
Isogeny class |
Conductor |
7590 |
Conductor |
∏ cp |
108 |
Product of Tamagawa factors cp |
deg |
48384 |
Modular degree for the optimal curve |
Δ |
1026562059198720 = 28 · 39 · 5 · 116 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 11- -4 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-40059,2670022] |
[a1,a2,a3,a4,a6] |
Generators |
[-196:1830:1] |
Generators of the group modulo torsion |
j |
7108998764134921129/1026562059198720 |
j-invariant |
L |
2.9351417086745 |
L(r)(E,1)/r! |
Ω |
0.47306727902803 |
Real period |
R |
2.0681636903072 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
60720bk1 22770bt1 37950cd1 83490cf1 |
Quadratic twists by: -4 -3 5 -11 |