Atkin-Lehner |
2- 3- 5+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
42900w |
Isogeny class |
Conductor |
42900 |
Conductor |
∏ cp |
66 |
Product of Tamagawa factors cp |
deg |
50688 |
Modular degree for the optimal curve |
Δ |
-2107624147200 = -1 · 28 · 311 · 52 · 11 · 132 |
Discriminant |
Eigenvalues |
2- 3- 5+ 1 11+ 13+ 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1308,71748] |
[a1,a2,a3,a4,a6] |
Generators |
[24:-234:1] |
Generators of the group modulo torsion |
j |
-38698930000/329316273 |
j-invariant |
L |
7.8344671977978 |
L(r)(E,1)/r! |
Ω |
0.70642169621142 |
Real period |
R |
0.1680356776811 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999997 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
128700q1 42900n1 |
Quadratic twists by: -3 5 |