Atkin-Lehner |
2- 3- 19- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
16644a |
Isogeny class |
Conductor |
16644 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
-12033959992752 = -1 · 24 · 3 · 196 · 732 |
Discriminant |
Eigenvalues |
2- 3- 2 4 2 -2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,3043,154908] |
[a1,a2,a3,a4,a6] |
j |
194700407078912/752122499547 |
j-invariant |
L |
4.5747212995286 |
L(r)(E,1)/r! |
Ω |
0.50830236661429 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
66576o1 49932b1 |
Quadratic twists by: -4 -3 |