Atkin-Lehner |
3- 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
11025s |
Isogeny class |
Conductor |
11025 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
43008 |
Modular degree for the optimal curve |
Δ |
-196994059171875 = -1 · 37 · 56 · 78 |
Discriminant |
Eigenvalues |
2 3- 5+ 7+ 2 -1 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-25725,-1725719] |
[a1,a2,a3,a4,a6] |
j |
-28672/3 |
j-invariant |
L |
4.497073416363 |
L(r)(E,1)/r! |
Ω |
0.18737805901512 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3675d1 441e1 11025bb1 |
Quadratic twists by: -3 5 -7 |