Atkin-Lehner |
2+ 3- 13+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
40248i |
Isogeny class |
Conductor |
40248 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
30240 |
Modular degree for the optimal curve |
Δ |
-834582528 = -1 · 211 · 36 · 13 · 43 |
Discriminant |
Eigenvalues |
2+ 3- -4 -5 3 13+ 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-147,1550] |
[a1,a2,a3,a4,a6] |
j |
-235298/559 |
j-invariant |
L |
1.4041986863762 |
L(r)(E,1)/r! |
Ω |
1.4041986864851 |
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 |
80496p1 4472a1 |
Quadratic twists by: -4 -3 |