Atkin-Lehner |
2+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
19600h |
Isogeny class |
Conductor |
19600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
-3294172000000 = -1 · 28 · 56 · 77 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7- 4 2 -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1225,85750] |
[a1,a2,a3,a4,a6] |
j |
432/7 |
j-invariant |
L |
2.3652103318462 |
L(r)(E,1)/r! |
Ω |
0.59130258296154 |
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 |
9800d1 78400gz1 784c1 2800a1 |
Quadratic twists by: -4 8 5 -7 |