Atkin-Lehner |
2- 17+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
17918f |
Isogeny class |
Conductor |
17918 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
121856 |
Modular degree for the optimal curve |
Δ |
455851797254468 = 22 · 179 · 312 |
Discriminant |
Eigenvalues |
2- 2 2 0 -6 -2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-95087,-11278511] |
[a1,a2,a3,a4,a6] |
Generators |
[16023008448551:297269560756224:28344726649] |
Generators of the group modulo torsion |
j |
801765089/3844 |
j-invariant |
L |
11.200705342413 |
L(r)(E,1)/r! |
Ω |
0.27195344010067 |
Real period |
R |
20.593056918617 |
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 |
17918c1 |
Quadratic twists by: 17 |