Atkin-Lehner |
3- 5+ 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
26775v |
Isogeny class |
Conductor |
26775 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
-62765703984375 = -1 · 39 · 57 · 74 · 17 |
Discriminant |
Eigenvalues |
1 3- 5+ 7+ 4 -2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,7083,302616] |
[a1,a2,a3,a4,a6] |
j |
3449795831/5510295 |
j-invariant |
L |
1.6963692919764 |
L(r)(E,1)/r! |
Ω |
0.42409232299409 |
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 |
8925u1 5355s1 |
Quadratic twists by: -3 5 |