Atkin-Lehner |
2+ 3+ 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
9048b |
Isogeny class |
Conductor |
9048 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
164160 |
Modular degree for the optimal curve |
Δ |
-1816524631757002752 = -1 · 211 · 39 · 133 · 295 |
Discriminant |
Eigenvalues |
2+ 3+ 0 -4 3 13+ -1 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-600408,190647756] |
[a1,a2,a3,a4,a6] |
Generators |
[3546625:56635858:4913] |
Generators of the group modulo torsion |
j |
-11687830210426531250/886974917850099 |
j-invariant |
L |
3.1828762401656 |
L(r)(E,1)/r! |
Ω |
0.25928341287073 |
Real period |
R |
12.275664705758 |
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 |
18096j1 72384bk1 27144l1 117624bc1 |
Quadratic twists by: -4 8 -3 13 |