Atkin-Lehner |
11- 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
39083h |
Isogeny class |
Conductor |
39083 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
21120 |
Modular degree for the optimal curve |
Δ |
-69237918563 = -1 · 118 · 17 · 19 |
Discriminant |
Eigenvalues |
0 -1 -2 2 11- -4 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,81,-12684] |
[a1,a2,a3,a4,a6] |
j |
32768/39083 |
j-invariant |
L |
1.0214576984744 |
L(r)(E,1)/r! |
Ω |
0.51072884925347 |
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 |
3553a1 |
Quadratic twists by: -11 |