Atkin-Lehner |
2+ 3- 13+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
3354c |
Isogeny class |
Conductor |
3354 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
1056 |
Modular degree for the optimal curve |
Δ |
-30910464 = -1 · 211 · 33 · 13 · 43 |
Discriminant |
Eigenvalues |
2+ 3- -1 2 4 13+ 4 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-164,-862] |
[a1,a2,a3,a4,a6] |
j |
-483551781049/30910464 |
j-invariant |
L |
1.9952412317643 |
L(r)(E,1)/r! |
Ω |
0.6650804105881 |
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 |
26832l1 107328l1 10062i1 83850bz1 |
Quadratic twists by: -4 8 -3 5 |