Atkin-Lehner |
2- 3+ 5+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
18600q |
Isogeny class |
Conductor |
18600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
150660000000000 = 211 · 35 · 510 · 31 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 0 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-8035408,8769860812] |
[a1,a2,a3,a4,a6] |
Generators |
[303175533:1653616:185193] |
Generators of the group modulo torsion |
j |
1793071414868660498/4708125 |
j-invariant |
L |
4.3319766389715 |
L(r)(E,1)/r! |
Ω |
0.38055730137155 |
Real period |
R |
11.383244056437 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
37200p4 55800q4 3720c4 |
Quadratic twists by: -4 -3 5 |