Atkin-Lehner |
2- 3+ 5- 7+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
43050bo |
Isogeny class |
Conductor |
43050 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
870400 |
Modular degree for the optimal curve |
Δ |
366000768000000000 = 216 · 35 · 59 · 7 · 412 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 6 2 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-441763,109017281] |
[a1,a2,a3,a4,a6] |
j |
4881595054357853/187392393216 |
j-invariant |
L |
4.7922696833426 |
L(r)(E,1)/r! |
Ω |
0.29951685520425 |
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 |
129150bs1 43050be1 |
Quadratic twists by: -3 5 |