Atkin-Lehner |
3+ 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
609b |
Isogeny class |
Conductor |
609 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
18418027974129 = 312 · 72 · 294 |
Discriminant |
Eigenvalues |
-1 3+ -2 7- 4 -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-13034,528806] |
[a1,a2,a3,a4,a6] |
Generators |
[-124:569:1] |
Generators of the group modulo torsion |
j |
244883173420511137/18418027974129 |
j-invariant |
L |
1.1844590786271 |
L(r)(E,1)/r! |
Ω |
0.67424077577527 |
Real period |
R |
1.7567301195411 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
9744q4 38976x3 1827b4 15225o3 |
Quadratic twists by: -4 8 -3 5 |