Atkin-Lehner |
2- 3+ 5+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
37200bv |
Isogeny class |
Conductor |
37200 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
42175157760000000 = 215 · 312 · 57 · 31 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 4 -6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2651408,-1660826688] |
[a1,a2,a3,a4,a6] |
Generators |
[-6135795754:998693550:6539203] |
Generators of the group modulo torsion |
j |
32208729120020809/658986840 |
j-invariant |
L |
4.622822171987 |
L(r)(E,1)/r! |
Ω |
0.11831258234907 |
Real period |
R |
9.7682386780048 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999996 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4650bi3 111600eu4 7440u3 |
Quadratic twists by: -4 -3 5 |