Atkin-Lehner |
3+ 7- 19+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
27531a |
Isogeny class |
Conductor |
27531 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
15552 |
Modular degree for the optimal curve |
Δ |
-21735917217 = -1 · 39 · 7 · 193 · 23 |
Discriminant |
Eigenvalues |
-1 3+ 2 7- -2 -3 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,646,-3374] |
[a1,a2,a3,a4,a6] |
j |
1516910949/1104299 |
j-invariant |
L |
1.3568169226994 |
L(r)(E,1)/r! |
Ω |
0.6784084613496 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
27531b1 |
Quadratic twists by: -3 |