Atkin-Lehner |
2- 3- 11- 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
43758y |
Isogeny class |
Conductor |
43758 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
279552 |
Modular degree for the optimal curve |
Δ |
-2049398598259584 = -1 · 27 · 318 · 11 · 13 · 172 |
Discriminant |
Eigenvalues |
2- 3- -1 1 11- 13- 17- 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-21218,-2476447] |
[a1,a2,a3,a4,a6] |
j |
-1449073218392281/2811246362496 |
j-invariant |
L |
5.2095640609957 |
L(r)(E,1)/r! |
Ω |
0.18605585932922 |
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 |
14586d1 |
Quadratic twists by: -3 |