Atkin-Lehner |
2+ 3- 7+ 23+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
84042m |
Isogeny class |
Conductor |
84042 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
141004800 |
Modular degree for the optimal curve |
Δ |
-1.4533631362621E+29 |
Discriminant |
Eigenvalues |
2+ 3- 3 7+ 5 3 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-4703304753,-125498146835043] |
[a1,a2,a3,a4,a6] |
j |
-15783581016591674409040545168913/199363941874093251129348096 |
j-invariant |
L |
3.570494011121 |
L(r)(E,1)/r! |
Ω |
0.0091084031012815 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
49 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28014w1 |
Quadratic twists by: -3 |