Atkin-Lehner |
2+ 5+ 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
51680d |
Isogeny class |
Conductor |
51680 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
3544731200 = 26 · 52 · 17 · 194 |
Discriminant |
Eigenvalues |
2+ -2 5+ 2 2 2 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-446,2080] |
[a1,a2,a3,a4,a6] |
Generators |
[-14:76:1] |
Generators of the group modulo torsion |
j |
153646158016/55386425 |
j-invariant |
L |
4.2941814686887 |
L(r)(E,1)/r! |
Ω |
1.2874061756453 |
Real period |
R |
0.83388241215433 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000025 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
51680b1 103360cm2 |
Quadratic twists by: -4 8 |