Atkin-Lehner |
2- 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
3344d |
Isogeny class |
Conductor |
3344 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
480 |
Modular degree for the optimal curve |
Δ |
3424256 = 214 · 11 · 19 |
Discriminant |
Eigenvalues |
2- 0 2 -2 11+ -2 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-59,-150] |
[a1,a2,a3,a4,a6] |
j |
5545233/836 |
j-invariant |
L |
1.7400229634507 |
L(r)(E,1)/r! |
Ω |
1.7400229634507 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
418a1 13376s1 30096bg1 83600bc1 |
Quadratic twists by: -4 8 -3 5 |