Atkin-Lehner |
2- 3- 5+ 7+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
33390bi |
Isogeny class |
Conductor |
33390 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
30464 |
Modular degree for the optimal curve |
Δ |
-4733032500 = -1 · 22 · 36 · 54 · 72 · 53 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 6 -3 5 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-443,-4769] |
[a1,a2,a3,a4,a6] |
j |
-13160971881/6492500 |
j-invariant |
L |
4.0678757267627 |
L(r)(E,1)/r! |
Ω |
0.50848446584515 |
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 |
3710a1 |
Quadratic twists by: -3 |