Atkin-Lehner |
2- 3+ 5+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
45450bq |
Isogeny class |
Conductor |
45450 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
Δ |
-65142226944000000 = -1 · 221 · 39 · 56 · 101 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 0 -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,98845,-2802653] |
[a1,a2,a3,a4,a6] |
Generators |
[283:-7054:1] |
Generators of the group modulo torsion |
j |
347280685389/211812352 |
j-invariant |
L |
8.4694543740522 |
L(r)(E,1)/r! |
Ω |
0.2020810494239 |
Real period |
R |
0.99788513642222 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999978 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
45450e1 1818c2 |
Quadratic twists by: -3 5 |