Atkin-Lehner |
2- 3+ 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
33600eh |
Isogeny class |
Conductor |
33600 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1064448 |
Modular degree for the optimal curve |
Δ |
-1.2753214597519E+20 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 2 -3 5 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,790687,-471410943] |
[a1,a2,a3,a4,a6] |
j |
16683494528422270/38919722282469 |
j-invariant |
L |
1.7277596471999 |
L(r)(E,1)/r! |
Ω |
0.095986647066382 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
33600cw1 8400t1 100800lm1 33600hi1 |
Quadratic twists by: -4 8 -3 5 |