Atkin-Lehner |
2+ 3- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
18150z |
Isogeny class |
Conductor |
18150 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
11520 |
Modular degree for the optimal curve |
Δ |
4594218750 = 2 · 35 · 57 · 112 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -1 11- 1 -5 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-751,7148] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:116:1] |
Generators of the group modulo torsion |
j |
24729001/2430 |
j-invariant |
L |
4.2958458527511 |
L(r)(E,1)/r! |
Ω |
1.3366609799964 |
Real period |
R |
0.16069317190521 |
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 |
54450fj1 3630q1 18150cq1 |
Quadratic twists by: -3 5 -11 |