Atkin-Lehner |
2- 3- 5+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
37350bj |
Isogeny class |
Conductor |
37350 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-16282528242187500 = -1 · 22 · 36 · 510 · 833 |
Discriminant |
Eigenvalues |
2- 3- 5+ 1 -3 4 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-104180,14350947] |
[a1,a2,a3,a4,a6] |
Generators |
[-1628745:62710341:12167] |
Generators of the group modulo torsion |
j |
-17564884225/2287148 |
j-invariant |
L |
9.0908645449173 |
L(r)(E,1)/r! |
Ω |
0.37941093602809 |
Real period |
R |
11.980235256377 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4150c2 37350z2 |
Quadratic twists by: -3 5 |