Atkin-Lehner |
2- 3- 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
17100q |
Isogeny class |
Conductor |
17100 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
74221882031250000 = 24 · 36 · 511 · 194 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 0 -6 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-207300,-33881375] |
[a1,a2,a3,a4,a6] |
Generators |
[-210:625:1] |
Generators of the group modulo torsion |
j |
5405726654464/407253125 |
j-invariant |
L |
4.2422158228432 |
L(r)(E,1)/r! |
Ω |
0.22480905709205 |
Real period |
R |
1.5725255459444 |
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 |
68400fg1 1900a1 3420a1 |
Quadratic twists by: -4 -3 5 |