Atkin-Lehner |
2- 3+ 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
23520bk |
Isogeny class |
Conductor |
23520 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
83013134400 = 26 · 32 · 52 · 78 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 4 -6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1290,-10800] |
[a1,a2,a3,a4,a6] |
j |
31554496/11025 |
j-invariant |
L |
1.6387917613597 |
L(r)(E,1)/r! |
Ω |
0.81939588067985 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
23520y1 47040cq2 70560bc1 117600dc1 |
Quadratic twists by: -4 8 -3 5 |