Atkin-Lehner |
2+ 3- 13- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
54288j |
Isogeny class |
Conductor |
54288 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
782535298896 = 24 · 310 · 134 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 0 13- -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7554,249095] |
[a1,a2,a3,a4,a6] |
Generators |
[2546:43875:8] |
Generators of the group modulo torsion |
j |
4087023572992/67089789 |
j-invariant |
L |
7.4154222841669 |
L(r)(E,1)/r! |
Ω |
0.89783368237634 |
Real period |
R |
4.1296191208063 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000103 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
27144e1 18096i1 |
Quadratic twists by: -4 -3 |