Atkin-Lehner |
2+ 3+ 5+ 7- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
45150m |
Isogeny class |
Conductor |
45150 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
259200 |
Modular degree for the optimal curve |
Δ |
-86724120000000 = -1 · 29 · 3 · 57 · 75 · 43 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 5 -2 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-19525,-1149875] |
[a1,a2,a3,a4,a6] |
j |
-52687982361169/5550343680 |
j-invariant |
L |
2.0074305074271 |
L(r)(E,1)/r! |
Ω |
0.20074305074742 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9030u1 |
Quadratic twists by: 5 |