Atkin-Lehner |
5- 19+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
84835c |
Isogeny class |
Conductor |
84835 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
200640 |
Modular degree for the optimal curve |
Δ |
75831608978065 = 5 · 199 · 47 |
Discriminant |
Eigenvalues |
1 0 5- 4 4 0 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-31294,-2081385] |
[a1,a2,a3,a4,a6] |
Generators |
[11182361512697083616103815630739806:107446194361119210684384912206153453:43588822577299126548399941615549] |
Generators of the group modulo torsion |
j |
10503459/235 |
j-invariant |
L |
9.7855016137352 |
L(r)(E,1)/r! |
Ω |
0.35943889884171 |
Real period |
R |
54.448762486879 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999979013 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
84835d1 |
Quadratic twists by: -19 |