Atkin-Lehner |
2- 3+ 5+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
18600q |
Isogeny class |
Conductor |
18600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1.729445062896E+19 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 0 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-657408,45592812] |
[a1,a2,a3,a4,a6] |
Generators |
[254487:24614576:27] |
Generators of the group modulo torsion |
j |
981927331418738/540451582155 |
j-invariant |
L |
4.3319766389715 |
L(r)(E,1)/r! |
Ω |
0.19027865068577 |
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 |
37200p3 55800q3 3720c3 |
Quadratic twists by: -4 -3 5 |