Atkin-Lehner |
3- 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
33327n |
Isogeny class |
Conductor |
33327 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
247296 |
Modular degree for the optimal curve |
Δ |
-25176120347003409 = -1 · 38 · 72 · 238 |
Discriminant |
Eigenvalues |
1 3- 3 7- 2 -1 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-161973,26266842] |
[a1,a2,a3,a4,a6] |
j |
-8231953/441 |
j-invariant |
L |
4.4734305984522 |
L(r)(E,1)/r! |
Ω |
0.3727858832047 |
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 |
11109j1 33327h1 |
Quadratic twists by: -3 -23 |