Atkin-Lehner |
3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
11025bb |
Isogeny class |
Conductor |
11025 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
6144 |
Modular degree for the optimal curve |
Δ |
-1674421875 = -1 · 37 · 56 · 72 |
Discriminant |
Eigenvalues |
2 3- 5+ 7- 2 1 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-525,5031] |
[a1,a2,a3,a4,a6] |
Generators |
[130:221:8] |
Generators of the group modulo torsion |
j |
-28672/3 |
j-invariant |
L |
9.0135996902715 |
L(r)(E,1)/r! |
Ω |
1.4578225740092 |
Real period |
R |
1.5457298869853 |
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 |
3675n1 441f1 11025s1 |
Quadratic twists by: -3 5 -7 |