Atkin-Lehner |
2- 5- 11+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
4070f |
Isogeny class |
Conductor |
4070 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
8017411600 = 24 · 52 · 114 · 372 |
Discriminant |
Eigenvalues |
2- 0 5- -4 11+ -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-552,2651] |
[a1,a2,a3,a4,a6] |
j |
18569625442641/8017411600 |
j-invariant |
L |
2.3676164964569 |
L(r)(E,1)/r! |
Ω |
1.1838082482284 |
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 |
32560t2 36630m2 20350a2 44770i2 |
Quadratic twists by: -4 -3 5 -11 |