Atkin-Lehner |
2+ 3- 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
27048l |
Isogeny class |
Conductor |
27048 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
115200 |
Modular degree for the optimal curve |
Δ |
-461898361903104 = -1 · 211 · 35 · 79 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 3 7- 0 1 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-19224,1450224] |
[a1,a2,a3,a4,a6] |
j |
-3261064466/1917027 |
j-invariant |
L |
4.8813875666559 |
L(r)(E,1)/r! |
Ω |
0.48813875666561 |
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 |
54096g1 81144bu1 3864b1 |
Quadratic twists by: -4 -3 -7 |