Atkin-Lehner |
2+ 3+ 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
27048a |
Isogeny class |
Conductor |
27048 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
112896 |
Modular degree for the optimal curve |
Δ |
-51322040211456 = -1 · 211 · 33 · 79 · 23 |
Discriminant |
Eigenvalues |
2+ 3+ 1 7- 2 -3 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-261480,51552684] |
[a1,a2,a3,a4,a6] |
j |
-23923707806/621 |
j-invariant |
L |
1.1738245603003 |
L(r)(E,1)/r! |
Ω |
0.58691228015008 |
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 |
54096s1 81144bx1 27048f1 |
Quadratic twists by: -4 -3 -7 |