Atkin-Lehner |
2+ 3- 5- 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
18480y |
Isogeny class |
Conductor |
18480 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
3840 |
Modular degree for the optimal curve |
Δ |
-23950080 = -1 · 28 · 35 · 5 · 7 · 11 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 11+ -2 -1 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,55,195] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:9:1] |
Generators of the group modulo torsion |
j |
70575104/93555 |
j-invariant |
L |
6.3565238010593 |
L(r)(E,1)/r! |
Ω |
1.4355481562038 |
Real period |
R |
0.88558837592306 |
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 |
9240x1 73920ei1 55440l1 92400m1 |
Quadratic twists by: -4 8 -3 5 |