Atkin-Lehner |
2+ 3- 19- 89- |
Signs for the Atkin-Lehner involutions |
Class |
30438k |
Isogeny class |
Conductor |
30438 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
-3680938930176 = -1 · 212 · 312 · 19 · 89 |
Discriminant |
Eigenvalues |
2+ 3- -3 -4 -3 5 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,3069,64341] |
[a1,a2,a3,a4,a6] |
Generators |
[-15:129:1] [6:285:1] |
Generators of the group modulo torsion |
j |
4384370502863/5049298944 |
j-invariant |
L |
4.7548755927423 |
L(r)(E,1)/r! |
Ω |
0.52516894348978 |
Real period |
R |
1.1317490427805 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10146p1 |
Quadratic twists by: -3 |