Atkin-Lehner |
2- 3+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
39984cg |
Isogeny class |
Conductor |
39984 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
2350080 |
Modular degree for the optimal curve |
Δ |
-4.8726026823291E+20 |
Discriminant |
Eigenvalues |
2- 3+ -1 7- -5 1 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-11444456,-14935855248] |
[a1,a2,a3,a4,a6] |
j |
-344002044213921241/1011143540736 |
j-invariant |
L |
0.65654469953743 |
L(r)(E,1)/r! |
Ω |
0.041034043718665 |
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 |
4998u1 119952et1 5712q1 |
Quadratic twists by: -4 -3 -7 |