Atkin-Lehner |
2+ 3- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
33600do |
Isogeny class |
Conductor |
33600 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
2188800 |
Modular degree for the optimal curve |
Δ |
-9.13217421312E+19 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 2 -7 -7 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-10072833,-12316773537] |
[a1,a2,a3,a4,a6] |
j |
-1103770289367265/891813888 |
j-invariant |
L |
1.271106263159 |
L(r)(E,1)/r! |
Ω |
0.04237020877197 |
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 |
33600fn1 1050n1 100800hx1 33600h1 |
Quadratic twists by: -4 8 -3 5 |