Atkin-Lehner |
3+ 5+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
11925b |
Isogeny class |
Conductor |
11925 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
12672 |
Modular degree for the optimal curve |
Δ |
-2794921875 = -1 · 33 · 59 · 53 |
Discriminant |
Eigenvalues |
2 3+ 5+ 4 -6 0 -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,75,2531] |
[a1,a2,a3,a4,a6] |
Generators |
[-30:371:8] |
Generators of the group modulo torsion |
j |
110592/6625 |
j-invariant |
L |
9.5085510314589 |
L(r)(E,1)/r! |
Ω |
1.0916311480158 |
Real period |
R |
1.0888008106884 |
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 |
11925f1 2385d1 |
Quadratic twists by: -3 5 |