Atkin-Lehner |
2+ 3+ 5+ 7+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
45150g |
Isogeny class |
Conductor |
45150 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
1209878906250000 = 24 · 3 · 512 · 74 · 43 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 2 6 -8 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-157150,-23985500] |
[a1,a2,a3,a4,a6] |
j |
27469525665643489/77432250000 |
j-invariant |
L |
0.95929940184833 |
L(r)(E,1)/r! |
Ω |
0.23982485047273 |
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 |
9030v1 |
Quadratic twists by: 5 |