Atkin-Lehner |
2- 3- 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
50400db |
Isogeny class |
Conductor |
50400 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
-107163000000 = -1 · 26 · 37 · 56 · 72 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -2 2 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,375,15500] |
[a1,a2,a3,a4,a6] |
Generators |
[1:126:1] |
Generators of the group modulo torsion |
j |
8000/147 |
j-invariant |
L |
6.2636119911454 |
L(r)(E,1)/r! |
Ω |
0.78885802631523 |
Real period |
R |
0.99251255964491 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999823 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
50400bi1 100800dh2 16800b1 2016f1 |
Quadratic twists by: -4 8 -3 5 |