Atkin-Lehner |
2+ 3- 5- 41- |
Signs for the Atkin-Lehner involutions |
Class |
4920c |
Isogeny class |
Conductor |
4920 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-172160640000 = -1 · 210 · 38 · 54 · 41 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 4 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,200,20000] |
[a1,a2,a3,a4,a6] |
j |
859687196/168125625 |
j-invariant |
L |
3.1408044167917 |
L(r)(E,1)/r! |
Ω |
0.78520110419792 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
9840d4 39360g3 14760n4 24600w3 |
Quadratic twists by: -4 8 -3 5 |