Atkin-Lehner |
2+ 19+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
74366a |
Isogeny class |
Conductor |
74366 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
346560 |
Modular degree for the optimal curve |
Δ |
2127157303759168 = 26 · 199 · 103 |
Discriminant |
Eigenvalues |
2+ -1 0 1 6 6 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-33580,-842224] |
[a1,a2,a3,a4,a6] |
Generators |
[-6520:113004:125] |
Generators of the group modulo torsion |
j |
12977875/6592 |
j-invariant |
L |
4.4643661768712 |
L(r)(E,1)/r! |
Ω |
0.37219443475416 |
Real period |
R |
2.9986787547954 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000604 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
74366f1 |
Quadratic twists by: -19 |