Atkin-Lehner |
2- 3- 7- 19- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
128478cz |
Isogeny class |
Conductor |
128478 |
Conductor |
∏ cp |
105 |
Product of Tamagawa factors cp |
deg |
332640 |
Modular degree for the optimal curve |
Δ |
240436812672 = 27 · 35 · 72 · 193 · 23 |
Discriminant |
Eigenvalues |
2- 3- -4 7- -1 -7 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-3585,-79479] |
[a1,a2,a3,a4,a6] |
Generators |
[-36:75:1] |
Generators of the group modulo torsion |
j |
103992659143009/4906873728 |
j-invariant |
L |
7.3093950289705 |
L(r)(E,1)/r! |
Ω |
0.6187919075288 |
Real period |
R |
0.11249869888149 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000217603 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
128478bt1 |
Quadratic twists by: -7 |