Atkin-Lehner |
2- 3- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
42588z |
Isogeny class |
Conductor |
42588 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
8626176 |
Modular degree for the optimal curve |
Δ |
1.1505683593461E+26 |
Discriminant |
Eigenvalues |
2- 3- 2 7- -2 13- -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-145555644,-436491679507] |
[a1,a2,a3,a4,a6] |
Generators |
[-662020569622:-46997403609177:96071912] |
Generators of the group modulo torsion |
j |
2757231177908224/930196594089 |
j-invariant |
L |
6.8119725243103 |
L(r)(E,1)/r! |
Ω |
0.044649856307556 |
Real period |
R |
19.070533165293 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14196g1 42588n1 |
Quadratic twists by: -3 13 |