Atkin-Lehner |
2- 3- 23- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
33948c |
Isogeny class |
Conductor |
33948 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
145152 |
Modular degree for the optimal curve |
Δ |
203602750868736 = 28 · 313 · 233 · 41 |
Discriminant |
Eigenvalues |
2- 3- 3 1 -2 -2 4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-129936,18014708] |
[a1,a2,a3,a4,a6] |
j |
1300004027957248/1090978389 |
j-invariant |
L |
3.3595699876104 |
L(r)(E,1)/r! |
Ω |
0.55992833126848 |
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 |
11316a1 |
Quadratic twists by: -3 |