Atkin-Lehner |
2- 3- 5- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
3420b |
Isogeny class |
Conductor |
3420 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
768 |
Modular degree for the optimal curve |
Δ |
189481680 = 24 · 38 · 5 · 192 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 0 -4 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-192,781] |
[a1,a2,a3,a4,a6] |
j |
67108864/16245 |
j-invariant |
L |
1.6845068057328 |
L(r)(E,1)/r! |
Ω |
1.6845068057328 |
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 |
13680bt1 54720bi1 1140b1 17100p1 |
Quadratic twists by: -4 8 -3 5 |