Atkin-Lehner |
2- 3+ 41- 73- |
Signs for the Atkin-Lehner involutions |
Class |
17958k |
Isogeny class |
Conductor |
17958 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
16320 |
Modular degree for the optimal curve |
Δ |
-2979016704 = -1 · 212 · 35 · 41 · 73 |
Discriminant |
Eigenvalues |
2- 3+ 3 0 0 5 8 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-829,-9901] |
[a1,a2,a3,a4,a6] |
j |
-63011533010257/2979016704 |
j-invariant |
L |
5.323690506539 |
L(r)(E,1)/r! |
Ω |
0.44364087554491 |
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 |
53874c1 |
Quadratic twists by: -3 |