Atkin-Lehner |
2+ 3- 7- 17- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
33558j |
Isogeny class |
Conductor |
33558 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
64512 |
Modular degree for the optimal curve |
Δ |
-5581714489344 = -1 · 218 · 34 · 7 · 17 · 472 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- -2 -4 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,3940,62426] |
[a1,a2,a3,a4,a6] |
j |
6766604906507207/5581714489344 |
j-invariant |
L |
1.9677173606346 |
L(r)(E,1)/r! |
Ω |
0.49192934015739 |
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 |
100674br1 |
Quadratic twists by: -3 |