Atkin-Lehner |
2- 3+ 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
22800bx |
Isogeny class |
Conductor |
22800 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
-382520524800 = -1 · 228 · 3 · 52 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 -1 4 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,632,28912] |
[a1,a2,a3,a4,a6] |
Generators |
[18:214:1] |
Generators of the group modulo torsion |
j |
272199695/3735552 |
j-invariant |
L |
4.6610196651598 |
L(r)(E,1)/r! |
Ω |
0.7047626136618 |
Real period |
R |
3.3068011659572 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2850h1 91200hg1 68400ey1 22800dn1 |
Quadratic twists by: -4 8 -3 5 |