Atkin-Lehner |
2+ 3- 5- 23- |
Signs for the Atkin-Lehner involutions |
Class |
110400ff |
Isogeny class |
Conductor |
110400 |
Conductor |
∏ cp |
126 |
Product of Tamagawa factors cp |
deg |
6128640 |
Modular degree for the optimal curve |
Δ |
-1.1767076744832E+21 |
Discriminant |
Eigenvalues |
2+ 3- 5- 3 0 2 -7 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-21076833,-37287561537] |
[a1,a2,a3,a4,a6] |
j |
-80896517556407240/91930287069 |
j-invariant |
L |
4.4387339066194 |
L(r)(E,1)/r! |
Ω |
0.035228051956199 |
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 |
110400ca1 55200u1 110400o1 |
Quadratic twists by: -4 8 5 |