Atkin-Lehner |
3- 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
33327j |
Isogeny class |
Conductor |
33327 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
317952 |
Modular degree for the optimal curve |
Δ |
58744280809674621 = 37 · 73 · 238 |
Discriminant |
Eigenvalues |
-1 3- 3 7+ 2 0 -1 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-435731,-109982266] |
[a1,a2,a3,a4,a6] |
Generators |
[996:20557:1] |
Generators of the group modulo torsion |
j |
160261033/1029 |
j-invariant |
L |
4.3528451353173 |
L(r)(E,1)/r! |
Ω |
0.18589298981186 |
Real period |
R |
5.8539662250345 |
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 |
11109d1 33327p1 |
Quadratic twists by: -3 -23 |