Atkin-Lehner |
3- 5+ 11- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
33165m |
Isogeny class |
Conductor |
33165 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
9728 |
Modular degree for the optimal curve |
Δ |
443250225 = 37 · 52 · 112 · 67 |
Discriminant |
Eigenvalues |
-1 3- 5+ 2 11- -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-203,506] |
[a1,a2,a3,a4,a6] |
Generators |
[18:40:1] |
Generators of the group modulo torsion |
j |
1263214441/608025 |
j-invariant |
L |
3.1807998451627 |
L(r)(E,1)/r! |
Ω |
1.4878983262297 |
Real period |
R |
0.53444509431353 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999987 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11055g1 |
Quadratic twists by: -3 |