Atkin-Lehner |
2- 3+ 5+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
9300a |
Isogeny class |
Conductor |
9300 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
251100000000 = 28 · 34 · 58 · 31 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 -4 -4 -4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4508,-112488] |
[a1,a2,a3,a4,a6] |
Generators |
[-38:50:1] [-34:18:1] |
Generators of the group modulo torsion |
j |
2533446736/62775 |
j-invariant |
L |
4.8646199907651 |
L(r)(E,1)/r! |
Ω |
0.58351441956736 |
Real period |
R |
1.3894600909123 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
37200dd2 27900e2 1860b2 |
Quadratic twists by: -4 -3 5 |