Atkin-Lehner |
2- 3- 5+ 7+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
18270bk |
Isogeny class |
Conductor |
18270 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
12016544400 = 24 · 36 · 52 · 72 · 292 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 0 -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-578,-719] |
[a1,a2,a3,a4,a6] |
Generators |
[-17:71:1] |
Generators of the group modulo torsion |
j |
29246580441/16483600 |
j-invariant |
L |
6.8228523907592 |
L(r)(E,1)/r! |
Ω |
1.0486276060046 |
Real period |
R |
0.81330735902935 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
2030a2 91350bp2 127890fr2 |
Quadratic twists by: -3 5 -7 |