Atkin-Lehner |
2- 3- 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
17100o |
Isogeny class |
Conductor |
17100 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
28800 |
Modular degree for the optimal curve |
Δ |
2166091405200 = 24 · 37 · 52 · 195 |
Discriminant |
Eigenvalues |
2- 3- 5+ 1 4 0 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-16545,-816055] |
[a1,a2,a3,a4,a6] |
Generators |
[-71:27:1] |
Generators of the group modulo torsion |
j |
1717657250560/7428297 |
j-invariant |
L |
5.3989774496746 |
L(r)(E,1)/r! |
Ω |
0.42106181903741 |
Real period |
R |
2.1370486096385 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
68400ff1 5700a1 17100bc1 |
Quadratic twists by: -4 -3 5 |