Atkin-Lehner |
2+ 5- 13- 31- |
Signs for the Atkin-Lehner involutions |
Class |
4030a |
Isogeny class |
Conductor |
4030 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1568 |
Modular degree for the optimal curve |
Δ |
-2145894400 = -1 · 214 · 52 · 132 · 31 |
Discriminant |
Eigenvalues |
2+ 0 5- 0 -2 13- 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-104,-2240] |
[a1,a2,a3,a4,a6] |
j |
-125075015001/2145894400 |
j-invariant |
L |
1.2597327936045 |
L(r)(E,1)/r! |
Ω |
0.62986639680226 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
32240n1 128960b1 36270bn1 20150j1 |
Quadratic twists by: -4 8 -3 5 |