Atkin-Lehner |
2- 3- 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
35568bz |
Isogeny class |
Conductor |
35568 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
13824 |
Modular degree for the optimal curve |
Δ |
-2100254832 = -1 · 24 · 312 · 13 · 19 |
Discriminant |
Eigenvalues |
2- 3- 0 4 0 13- -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-165,2351] |
[a1,a2,a3,a4,a6] |
j |
-42592000/180063 |
j-invariant |
L |
2.5576903670035 |
L(r)(E,1)/r! |
Ω |
1.2788451834952 |
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 |
8892o1 11856t1 |
Quadratic twists by: -4 -3 |