Atkin-Lehner |
3- 5+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
11925n |
Isogeny class |
Conductor |
11925 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
244499765625 = 310 · 57 · 53 |
Discriminant |
Eigenvalues |
1 3- 5+ -4 4 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1917,-21384] |
[a1,a2,a3,a4,a6] |
j |
68417929/21465 |
j-invariant |
L |
1.4785449573988 |
L(r)(E,1)/r! |
Ω |
0.73927247869939 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3975j1 2385i1 |
Quadratic twists by: -3 5 |