Atkin-Lehner |
2+ 3- 5+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
37350g |
Isogeny class |
Conductor |
37350 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
451987290000000 = 27 · 38 · 57 · 832 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 -6 -6 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-769167,-259450259] |
[a1,a2,a3,a4,a6] |
Generators |
[-505:266:1] [2249:95738:1] |
Generators of the group modulo torsion |
j |
4418129129836969/39680640 |
j-invariant |
L |
6.3635201405942 |
L(r)(E,1)/r! |
Ω |
0.16121097383407 |
Real period |
R |
9.8683110542207 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12450o2 7470q2 |
Quadratic twists by: -3 5 |