Atkin-Lehner |
3- 7+ 11- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
109263p |
Isogeny class |
Conductor |
109263 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
887040 |
Modular degree for the optimal curve |
Δ |
-4182769196754687 = -1 · 33 · 75 · 118 · 43 |
Discriminant |
Eigenvalues |
-1 3- 2 7+ 11- -4 -5 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-335717,74906712] |
[a1,a2,a3,a4,a6] |
Generators |
[373:1084:1] |
Generators of the group modulo torsion |
j |
-19521011279473/19512927 |
j-invariant |
L |
5.1040304002297 |
L(r)(E,1)/r! |
Ω |
0.43611762434894 |
Real period |
R |
1.3003704923788 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999824495 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
109263u1 |
Quadratic twists by: -11 |