Atkin-Lehner |
3+ 7- 11- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
109263l |
Isogeny class |
Conductor |
109263 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
13632 |
Modular degree for the optimal curve |
Δ |
-109263 = -1 · 3 · 7 · 112 · 43 |
Discriminant |
Eigenvalues |
1 3+ -4 7- 11- 2 -5 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-2,15] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:5:1] |
Generators of the group modulo torsion |
j |
-14641/903 |
j-invariant |
L |
4.0385897842332 |
L(r)(E,1)/r! |
Ω |
2.7606222315257 |
Real period |
R |
1.4629273557605 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006967 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
109263f1 |
Quadratic twists by: -11 |