Atkin-Lehner |
5- 11- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
11825j |
Isogeny class |
Conductor |
11825 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
548640 |
Modular degree for the optimal curve |
Δ |
-5.2715789140236E+19 |
Discriminant |
Eigenvalues |
-2 -2 5- 2 11- 2 -7 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-91708,349456994] |
[a1,a2,a3,a4,a6] |
Generators |
[1847:80525:1] |
Generators of the group modulo torsion |
j |
-218368544788480/134952420199003 |
j-invariant |
L |
1.4723870142462 |
L(r)(E,1)/r! |
Ω |
0.1615113169046 |
Real period |
R |
0.75969238692 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
106425w1 11825h1 |
Quadratic twists by: -3 5 |