Atkin-Lehner |
2- 7+ 11+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
63448b |
Isogeny class |
Conductor |
63448 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
75264 |
Modular degree for the optimal curve |
Δ |
-1463872256 = -1 · 28 · 72 · 11 · 1032 |
Discriminant |
Eigenvalues |
2- -3 -3 7+ 11+ 2 4 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-124,-1916] |
[a1,a2,a3,a4,a6] |
Generators |
[16:14:1] [25:103:1] |
Generators of the group modulo torsion |
j |
-823661568/5718251 |
j-invariant |
L |
5.2901791863681 |
L(r)(E,1)/r! |
Ω |
0.63506388347996 |
Real period |
R |
1.0412690998391 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000068 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
126896d1 |
Quadratic twists by: -4 |