Atkin-Lehner |
2- 3- 5- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
50400eg |
Isogeny class |
Conductor |
50400 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
32768 |
Modular degree for the optimal curve |
Δ |
122472000 = 26 · 37 · 53 · 7 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ -6 -6 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1245,16900] |
[a1,a2,a3,a4,a6] |
Generators |
[-25:180:1] [0:130:1] |
Generators of the group modulo torsion |
j |
36594368/21 |
j-invariant |
L |
8.9015782081379 |
L(r)(E,1)/r! |
Ω |
1.8382849740033 |
Real period |
R |
2.421163838584 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
50400cb1 100800hh2 16800bb1 50400cc1 |
Quadratic twists by: -4 8 -3 5 |