Atkin-Lehner |
2- 3- 5- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
84150gz |
Isogeny class |
Conductor |
84150 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
2903040 |
Modular degree for the optimal curve |
Δ |
-3.877289905005E+19 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 11- -7 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,9445,299583947] |
[a1,a2,a3,a4,a6] |
Generators |
[483:20170:1] |
Generators of the group modulo torsion |
j |
327254135/136157231232 |
j-invariant |
L |
10.507758509964 |
L(r)(E,1)/r! |
Ω |
0.16226760569405 |
Real period |
R |
2.3127049168482 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002871 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28050bo1 84150ct1 |
Quadratic twists by: -3 5 |