Atkin-Lehner |
2+ 11- 71- |
Signs for the Atkin-Lehner involutions |
Class |
49984j |
Isogeny class |
Conductor |
49984 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
88128 |
Modular degree for the optimal curve |
Δ |
10714514307904 = 26 · 119 · 71 |
Discriminant |
Eigenvalues |
2+ 0 1 -3 11- -7 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5512,2778] |
[a1,a2,a3,a4,a6] |
Generators |
[-57:363:1] |
Generators of the group modulo torsion |
j |
289381900713984/167414286061 |
j-invariant |
L |
4.7312341028133 |
L(r)(E,1)/r! |
Ω |
0.61004740006906 |
Real period |
R |
0.86172431524331 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999998 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
49984l1 781a1 |
Quadratic twists by: -4 8 |