Atkin-Lehner |
2- 3- 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
9240bj |
Isogeny class |
Conductor |
9240 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
deg |
16384 |
Modular degree for the optimal curve |
Δ |
-9280873047600 = -1 · 24 · 316 · 52 · 72 · 11 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 11+ -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,2305,141018] |
[a1,a2,a3,a4,a6] |
Generators |
[-29:225:1] |
Generators of the group modulo torsion |
j |
84611246065664/580054565475 |
j-invariant |
L |
5.5891973051695 |
L(r)(E,1)/r! |
Ω |
0.53005157862795 |
Real period |
R |
1.3180786386009 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
18480m1 73920o1 27720k1 46200a1 |
Quadratic twists by: -4 8 -3 5 |