Atkin-Lehner |
2+ 3- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
52416ck |
Isogeny class |
Conductor |
52416 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
98304 |
Modular degree for the optimal curve |
Δ |
40236460992 = 26 · 312 · 7 · 132 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- -6 13+ -8 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-14115,-645388] |
[a1,a2,a3,a4,a6] |
Generators |
[7394:222831:8] |
Generators of the group modulo torsion |
j |
6665900968000/862407 |
j-invariant |
L |
4.8534293468525 |
L(r)(E,1)/r! |
Ω |
0.43800866848529 |
Real period |
R |
5.540334810689 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000139 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
52416bk1 26208u2 17472g1 |
Quadratic twists by: -4 8 -3 |