Atkin-Lehner |
2- 3+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
4128h |
Isogeny class |
Conductor |
4128 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1920 |
Modular degree for the optimal curve |
Δ |
-10400182272 = -1 · 212 · 310 · 43 |
Discriminant |
Eigenvalues |
2- 3+ 0 2 1 3 3 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-413,-5739] |
[a1,a2,a3,a4,a6] |
j |
-1906624000/2539107 |
j-invariant |
L |
2.018152475261 |
L(r)(E,1)/r! |
Ω |
0.50453811881524 |
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 |
4128e1 8256q1 12384c1 103200bb1 |
Quadratic twists by: -4 8 -3 5 |