Atkin-Lehner |
2- 5- 11+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
4070f |
Isogeny class |
Conductor |
4070 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
158625571940 = 22 · 5 · 118 · 37 |
Discriminant |
Eigenvalues |
2- 0 5- -4 11+ -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-4252,-103909] |
[a1,a2,a3,a4,a6] |
j |
8499780703863441/158625571940 |
j-invariant |
L |
2.3676164964569 |
L(r)(E,1)/r! |
Ω |
0.59190412411422 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
32560t4 36630m4 20350a3 44770i4 |
Quadratic twists by: -4 -3 5 -11 |