Atkin-Lehner |
5+ 17- 79- |
Signs for the Atkin-Lehner involutions |
Class |
33575f |
Isogeny class |
Conductor |
33575 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
45792 |
Modular degree for the optimal curve |
Δ |
-16370435546875 = -1 · 59 · 17 · 793 |
Discriminant |
Eigenvalues |
0 2 5+ -2 0 4 17- -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,1967,191093] |
[a1,a2,a3,a4,a6] |
Generators |
[-1131:4924:27] |
Generators of the group modulo torsion |
j |
53838872576/1047707875 |
j-invariant |
L |
6.1341276630764 |
L(r)(E,1)/r! |
Ω |
0.51943757985033 |
Real period |
R |
0.9840976569382 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6715b1 |
Quadratic twists by: 5 |