Atkin-Lehner |
3- 7+ 11- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
109263o |
Isogeny class |
Conductor |
109263 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
633600 |
Modular degree for the optimal curve |
Δ |
-12548307590264061 = -1 · 34 · 75 · 118 · 43 |
Discriminant |
Eigenvalues |
1 3- -3 7+ 11- 0 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-26260,-5635093] |
[a1,a2,a3,a4,a6] |
Generators |
[121303:1797116:343] |
Generators of the group modulo torsion |
j |
-9342059353/58538781 |
j-invariant |
L |
6.1898276394652 |
L(r)(E,1)/r! |
Ω |
0.16737132504769 |
Real period |
R |
9.2456513180143 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999860499 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
109263v1 |
Quadratic twists by: -11 |