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 |
deg |
133056 |
Modular degree for the optimal curve |
Δ |
-55636254000000 = -1 · 27 · 33 · 56 · 1013 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 0 -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-14780,782847] |
[a1,a2,a3,a4,a6] |
Generators |
[-67:1245:1] |
Generators of the group modulo torsion |
j |
-846322089579/131878528 |
j-invariant |
L |
8.4694543740522 |
L(r)(E,1)/r! |
Ω |
0.60624314827171 |
Real period |
R |
0.33262837880741 |
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 |
45450e2 1818c1 |
Quadratic twists by: -3 5 |