Atkin-Lehner |
2- 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
2576o |
Isogeny class |
Conductor |
2576 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
192 |
Modular degree for the optimal curve |
Δ |
-883568 = -1 · 24 · 74 · 23 |
Discriminant |
Eigenvalues |
2- -1 -2 7- 2 -1 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,6,43] |
[a1,a2,a3,a4,a6] |
Generators |
[1:7:1] |
Generators of the group modulo torsion |
j |
1257728/55223 |
j-invariant |
L |
2.4747957776515 |
L(r)(E,1)/r! |
Ω |
2.126738300358 |
Real period |
R |
0.29091446949948 |
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 |
644a1 10304bc1 23184bx1 64400bk1 |
Quadratic twists by: -4 8 -3 5 |