Atkin-Lehner |
2+ 3- 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
127050cr |
Isogeny class |
Conductor |
127050 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
-2.0185752322431E+24 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 11- 2 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-4369676,-68447340502] |
[a1,a2,a3,a4,a6] |
Generators |
[13952:1601286:1] |
Generators of the group modulo torsion |
j |
-333345918055753/72923718045024 |
j-invariant |
L |
7.1980222711627 |
L(r)(E,1)/r! |
Ω |
0.036962890076042 |
Real period |
R |
8.1140190356881 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000031366 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5082u4 11550cl4 |
Quadratic twists by: 5 -11 |