Atkin-Lehner |
2+ 3- 7- 53- |
Signs for the Atkin-Lehner involutions |
Class |
15582n |
Isogeny class |
Conductor |
15582 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
-131990883696 = -1 · 24 · 33 · 78 · 53 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- -6 -2 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,1003,-12400] |
[a1,a2,a3,a4,a6] |
Generators |
[15:70:1] [39:274:1] |
Generators of the group modulo torsion |
j |
949862087/1121904 |
j-invariant |
L |
5.3918043600522 |
L(r)(E,1)/r! |
Ω |
0.5586109792324 |
Real period |
R |
1.6086938735855 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999993 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
124656cw1 46746bh1 2226d1 |
Quadratic twists by: -4 -3 -7 |