Atkin-Lehner |
2+ 3- 37- |
Signs for the Atkin-Lehner involutions |
Class |
98568l |
Isogeny class |
Conductor |
98568 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
47856143952 = 24 · 310 · 373 |
Discriminant |
Eigenvalues |
2+ 3- 0 0 4 4 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1110,-9583] |
[a1,a2,a3,a4,a6] |
Generators |
[-11:36:1] |
Generators of the group modulo torsion |
j |
256000/81 |
j-invariant |
L |
7.7598026542388 |
L(r)(E,1)/r! |
Ω |
0.84773792702663 |
Real period |
R |
2.2883848947871 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999982545 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
32856l1 98568y1 |
Quadratic twists by: -3 37 |