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 |
-2552757445339983 = -1 · 36 · 7 · 298 |
Discriminant |
Eigenvalues |
-1 3+ -2 7- 4 -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,12481,2376092] |
[a1,a2,a3,a4,a6] |
Generators |
[78:1918:1] |
Generators of the group modulo torsion |
j |
215015459663151503/2552757445339983 |
j-invariant |
L |
1.1844590786271 |
L(r)(E,1)/r! |
Ω |
0.33712038788764 |
Real period |
R |
0.87836505977053 |
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 |
9744q6 38976x5 1827b6 15225o6 |
Quadratic twists by: -4 8 -3 5 |