Atkin-Lehner |
2- 3- 5+ 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
42630cy |
Isogeny class |
Conductor |
42630 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
580608 |
Modular degree for the optimal curve |
Δ |
32211398378127360 = 218 · 3 · 5 · 710 · 29 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 6 -2 8 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-122501,14053185] |
[a1,a2,a3,a4,a6] |
j |
719718117601/114032640 |
j-invariant |
L |
6.3678220650282 |
L(r)(E,1)/r! |
Ω |
0.35376789250389 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
127890df1 42630cp1 |
Quadratic twists by: -3 -7 |