Atkin-Lehner |
2- 5+ 17+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
22780a |
Isogeny class |
Conductor |
22780 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
187200 |
Modular degree for the optimal curve |
Δ |
-237826047500000000 = -1 · 28 · 510 · 175 · 67 |
Discriminant |
Eigenvalues |
2- 1 5+ 0 5 2 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-301741,-68075441] |
[a1,a2,a3,a4,a6] |
j |
-11868290336625270784/929007998046875 |
j-invariant |
L |
2.4334730505602 |
L(r)(E,1)/r! |
Ω |
0.10139471044001 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
91120j1 113900f1 |
Quadratic twists by: -4 5 |