Atkin-Lehner |
2+ 3+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
52416w |
Isogeny class |
Conductor |
52416 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
-252482420736 = -1 · 221 · 33 · 73 · 13 |
Discriminant |
Eigenvalues |
2+ 3+ -3 7- -3 13+ -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1236,17456] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:64:1] [-8:84:1] |
Generators of the group modulo torsion |
j |
29503629/35672 |
j-invariant |
L |
8.2003328352927 |
L(r)(E,1)/r! |
Ω |
0.65900291635484 |
Real period |
R |
0.51848106635675 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
52416dr1 1638n1 52416u2 |
Quadratic twists by: -4 8 -3 |