Atkin-Lehner |
2- 5- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
37570m |
Isogeny class |
Conductor |
37570 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-471561203011600 = -1 · 24 · 52 · 132 · 178 |
Discriminant |
Eigenvalues |
2- 0 5- -2 4 13+ 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,18008,471291] |
[a1,a2,a3,a4,a6] |
Generators |
[-21:299:1] |
Generators of the group modulo torsion |
j |
26757728271/19536400 |
j-invariant |
L |
8.6054460006509 |
L(r)(E,1)/r! |
Ω |
0.33480411675917 |
Real period |
R |
1.606432980116 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2210c2 |
Quadratic twists by: 17 |