Atkin-Lehner |
3+ 5+ 17+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
110925c |
Isogeny class |
Conductor |
110925 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
-88393359375 = -1 · 33 · 58 · 172 · 29 |
Discriminant |
Eigenvalues |
1 3+ 5+ 0 0 -2 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,708,-12509] |
[a1,a2,a3,a4,a6] |
Generators |
[12168:61291:512] |
Generators of the group modulo torsion |
j |
92959677/209525 |
j-invariant |
L |
7.0538485286578 |
L(r)(E,1)/r! |
Ω |
0.55737536353844 |
Real period |
R |
6.3277361748982 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000038191 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
110925j1 22185f1 |
Quadratic twists by: -3 5 |