Atkin-Lehner |
3- 11- 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
24453j |
Isogeny class |
Conductor |
24453 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
29952 |
Modular degree for the optimal curve |
Δ |
1980693 = 36 · 11 · 13 · 19 |
Discriminant |
Eigenvalues |
-2 3- 2 3 11- 13- -8 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-4689,-123586] |
[a1,a2,a3,a4,a6] |
j |
15640004800512/2717 |
j-invariant |
L |
1.1538769467332 |
L(r)(E,1)/r! |
Ω |
0.57693847336648 |
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 |
2717b1 |
Quadratic twists by: -3 |