Atkin-Lehner |
2- 3- 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
127050hj |
Isogeny class |
Conductor |
127050 |
Conductor |
∏ cp |
70 |
Product of Tamagawa factors cp |
deg |
10886400 |
Modular degree for the optimal curve |
Δ |
-1.7160647470312E+19 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 11- -4 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-31762563,-68903284383] |
[a1,a2,a3,a4,a6] |
j |
-15491003951990952121/75014100000 |
j-invariant |
L |
2.2258100078718 |
L(r)(E,1)/r! |
Ω |
0.031797322223607 |
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 |
25410u1 127050dn1 |
Quadratic twists by: 5 -11 |