Atkin-Lehner |
2- 3+ 5+ 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
84150du |
Isogeny class |
Conductor |
84150 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
4147200 |
Modular degree for the optimal curve |
Δ |
-1.1006437287378E+21 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 1 11+ -5 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-3123980,-2657128353] |
[a1,a2,a3,a4,a6] |
j |
-7992166558175554923/2608933282934000 |
j-invariant |
L |
1.7872775151576 |
L(r)(E,1)/r! |
Ω |
0.05585242239447 |
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 |
84150t2 16830l1 |
Quadratic twists by: -3 5 |