Atkin-Lehner |
2+ 3- 5+ 7+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
42630bc |
Isogeny class |
Conductor |
42630 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
deg |
1632960 |
Modular degree for the optimal curve |
Δ |
-6.4768658649823E+19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 0 -1 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-2107614,1239543736] |
[a1,a2,a3,a4,a6] |
j |
-179602476201258649/11235194181000 |
j-invariant |
L |
1.1593373335653 |
L(r)(E,1)/r! |
Ω |
0.19322288893299 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
127890fm1 42630n1 |
Quadratic twists by: -3 -7 |