Atkin-Lehner |
2- 3- 5+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
84150fw |
Isogeny class |
Conductor |
84150 |
Conductor |
∏ cp |
648 |
Product of Tamagawa factors cp |
deg |
8709120 |
Modular degree for the optimal curve |
Δ |
-1.1154000382525E+22 |
Discriminant |
Eigenvalues |
2- 3- 5+ 1 11- 4 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-32657855,72021580647] |
[a1,a2,a3,a4,a6] |
Generators |
[2339:90630:1] |
Generators of the group modulo torsion |
j |
-338173143620095981729/979226371031040 |
j-invariant |
L |
11.867538824465 |
L(r)(E,1)/r! |
Ω |
0.12817679322503 |
Real period |
R |
0.14288158303182 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000013 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28050a1 16830bc1 |
Quadratic twists by: -3 5 |