Atkin-Lehner |
2- 3- 5+ 23- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
128340f |
Isogeny class |
Conductor |
128340 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
52224000 |
Modular degree for the optimal curve |
Δ |
1.4931473673834E+27 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 4 -4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-554441268,-4668375190727] |
[a1,a2,a3,a4,a6] |
j |
1616005540359441656930615296/128013320248923046768605 |
j-invariant |
L |
0.75045234138764 |
L(r)(E,1)/r! |
Ω |
0.031268851563606 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42780h1 |
Quadratic twists by: -3 |