Atkin-Lehner |
2- 3- 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
22800dl |
Isogeny class |
Conductor |
22800 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
-14008320000000 = -1 · 220 · 32 · 57 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 4 6 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,4992,119988] |
[a1,a2,a3,a4,a6] |
j |
214921799/218880 |
j-invariant |
L |
3.7208085372349 |
L(r)(E,1)/r! |
Ω |
0.46510106715436 |
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 |
2850p1 91200fn1 68400ft1 4560t1 |
Quadratic twists by: -4 8 -3 5 |