Atkin-Lehner |
2- 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
30400bl |
Isogeny class |
Conductor |
30400 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
-9728000000 = -1 · 215 · 56 · 19 |
Discriminant |
Eigenvalues |
2- -3 5+ -1 2 -1 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,500,-2000] |
[a1,a2,a3,a4,a6] |
Generators |
[30:200:1] [5:25:1] |
Generators of the group modulo torsion |
j |
27000/19 |
j-invariant |
L |
5.4716101887014 |
L(r)(E,1)/r! |
Ω |
0.72875910615388 |
Real period |
R |
0.93851489170016 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
30400bw1 15200g1 1216m1 |
Quadratic twists by: -4 8 5 |