Atkin-Lehner |
2- 3- 5- 61- |
Signs for the Atkin-Lehner involutions |
Class |
27450cg |
Isogeny class |
Conductor |
27450 |
Conductor |
∏ cp |
264 |
Product of Tamagawa factors cp |
deg |
295680 |
Modular degree for the optimal curve |
Δ |
-92641543388928000 = -1 · 211 · 313 · 53 · 613 |
Discriminant |
Eigenvalues |
2- 3- 5- -1 4 3 4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-35150,14870877] |
[a1,a2,a3,a4,a6] |
Generators |
[965:29163:1] |
Generators of the group modulo torsion |
j |
-52704849262157/1016642451456 |
j-invariant |
L |
8.8263292921626 |
L(r)(E,1)/r! |
Ω |
0.28497861386434 |
Real period |
R |
0.11731780517583 |
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 |
9150g1 27450bc1 |
Quadratic twists by: -3 5 |