Atkin-Lehner |
2+ 3+ 5+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
92400c |
Isogeny class |
Conductor |
92400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
22708224 |
Modular degree for the optimal curve |
Δ |
1.2092204737032E+26 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 11+ -2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-169327383,662879537262] |
[a1,a2,a3,a4,a6] |
Generators |
[426239104606687753659597648196250835826201143074479331144:-141211255376279310482267191335128667503410561579585286221325:3832164145314083093143523971356629832483998850621952] |
Generators of the group modulo torsion |
j |
2147658844706816042407936/483688189481299210485 |
j-invariant |
L |
4.5198274780983 |
L(r)(E,1)/r! |
Ω |
0.055499980537141 |
Real period |
R |
81.438361550139 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999935593 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
46200cy1 18480bd1 |
Quadratic twists by: -4 5 |