Atkin-Lehner |
2- 3- 5+ 17- 37- |
Signs for the Atkin-Lehner involutions |
Class |
37740h |
Isogeny class |
Conductor |
37740 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
175664604000000 = 28 · 3 · 56 · 172 · 373 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 0 -4 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-811156,-281462956] |
[a1,a2,a3,a4,a6] |
Generators |
[-4159180:-168861:8000] |
Generators of the group modulo torsion |
j |
230567153017944011344/686189859375 |
j-invariant |
L |
4.6874768626401 |
L(r)(E,1)/r! |
Ω |
0.15908289707804 |
Real period |
R |
9.8218747347834 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999983 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
113220m4 |
Quadratic twists by: -3 |