Atkin-Lehner |
2- 3- 5+ 7- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
45150cx |
Isogeny class |
Conductor |
45150 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
-4320008437500 = -1 · 22 · 38 · 57 · 72 · 43 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 4 2 4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-9338,-362208] |
[a1,a2,a3,a4,a6] |
j |
-5763259856089/276480540 |
j-invariant |
L |
7.7489361233306 |
L(r)(E,1)/r! |
Ω |
0.24215425385409 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9030c1 |
Quadratic twists by: 5 |