Atkin-Lehner |
2- 3+ 7+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
86394bp |
Isogeny class |
Conductor |
86394 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
Δ |
-3.8804191033805E+25 |
Discriminant |
Eigenvalues |
2- 3+ -2 7+ 11- 4 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-296930554,1991935161767] |
[a1,a2,a3,a4,a6] |
Generators |
[-13909:1859343:1] |
Generators of the group modulo torsion |
j |
-1634301829925897625566137/21903954215409227808 |
j-invariant |
L |
6.2184046658221 |
L(r)(E,1)/r! |
Ω |
0.064951224133093 |
Real period |
R |
2.3934901753807 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999873953 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7854h2 |
Quadratic twists by: -11 |