Atkin-Lehner |
5- 11- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
11825i |
Isogeny class |
Conductor |
11825 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
36000 |
Modular degree for the optimal curve |
Δ |
13525767578125 = 59 · 115 · 43 |
Discriminant |
Eigenvalues |
2 1 5- 2 11- 1 -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-18708,-975131] |
[a1,a2,a3,a4,a6] |
Generators |
[-598:843:8] |
Generators of the group modulo torsion |
j |
370765205504/6925193 |
j-invariant |
L |
10.759686237133 |
L(r)(E,1)/r! |
Ω |
0.40867996431604 |
Real period |
R |
2.6327902458198 |
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 |
106425x1 11825l1 |
Quadratic twists by: -3 5 |