Atkin-Lehner |
2- 3+ 19+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
3306g |
Isogeny class |
Conductor |
3306 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
768 |
Modular degree for the optimal curve |
Δ |
1725732 = 22 · 33 · 19 · 292 |
Discriminant |
Eigenvalues |
2- 3+ -4 0 0 4 -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-30,-9] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:9:1] |
Generators of the group modulo torsion |
j |
2992209121/1725732 |
j-invariant |
L |
3.5045823093124 |
L(r)(E,1)/r! |
Ω |
2.2581095877549 |
Real period |
R |
1.5519983300708 |
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 |
26448v1 105792y1 9918g1 82650q1 |
Quadratic twists by: -4 8 -3 5 |