Atkin-Lehner |
2+ 3- 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
52416bx |
Isogeny class |
Conductor |
52416 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
-1669475598336 = -1 · 223 · 37 · 7 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 1 7+ 3 13- -5 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4332,126128] |
[a1,a2,a3,a4,a6] |
Generators |
[38:-128:1] |
Generators of the group modulo torsion |
j |
-47045881/8736 |
j-invariant |
L |
6.5600708073279 |
L(r)(E,1)/r! |
Ω |
0.80815359313297 |
Real period |
R |
1.0146695601919 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000052 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
52416gk1 1638o1 17472d1 |
Quadratic twists by: -4 8 -3 |