Atkin-Lehner |
2+ 3- 5- 7- 59- |
Signs for the Atkin-Lehner involutions |
Class |
37170p |
Isogeny class |
Conductor |
37170 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
11104301591302500 = 22 · 312 · 54 · 74 · 592 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 4 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-468459,123424465] |
[a1,a2,a3,a4,a6] |
Generators |
[449:-2083:1] |
Generators of the group modulo torsion |
j |
15595936788276412849/15232238122500 |
j-invariant |
L |
5.4584581874302 |
L(r)(E,1)/r! |
Ω |
0.40194113683844 |
Real period |
R |
0.84876516844688 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999993 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
12390n2 |
Quadratic twists by: -3 |