Atkin-Lehner |
2- 3- 5- 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
7590y |
Isogeny class |
Conductor |
7590 |
Conductor |
∏ cp |
130 |
Product of Tamagawa factors cp |
deg |
8320 |
Modular degree for the optimal curve |
Δ |
-12590899200 = -1 · 213 · 35 · 52 · 11 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5- -1 11+ 1 -8 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-640,8192] |
[a1,a2,a3,a4,a6] |
Generators |
[-16:128:1] |
Generators of the group modulo torsion |
j |
-28993860495361/12590899200 |
j-invariant |
L |
7.4686454557471 |
L(r)(E,1)/r! |
Ω |
1.1836498185626 |
Real period |
R |
0.048537259913689 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
60720bt1 22770j1 37950b1 83490bf1 |
Quadratic twists by: -4 -3 5 -11 |