Atkin-Lehner |
2+ 3- 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
12600l |
Isogeny class |
Conductor |
12600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
-32818668750000 = -1 · 24 · 37 · 58 · 74 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 0 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1950,273625] |
[a1,a2,a3,a4,a6] |
j |
4499456/180075 |
j-invariant |
L |
1.9874595714145 |
L(r)(E,1)/r! |
Ω |
0.49686489285363 |
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 |
25200bl1 100800cz1 4200w1 2520t1 |
Quadratic twists by: -4 8 -3 5 |