Atkin-Lehner |
2- 3+ 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
92736dl |
Isogeny class |
Conductor |
92736 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
706560 |
Modular degree for the optimal curve |
Δ |
-116235406525464576 = -1 · 217 · 39 · 7 · 235 |
Discriminant |
Eigenvalues |
2- 3+ -3 7- -2 3 -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,35316,16203024] |
[a1,a2,a3,a4,a6] |
Generators |
[-30:3888:1] |
Generators of the group modulo torsion |
j |
1888152282/45054401 |
j-invariant |
L |
4.855181725879 |
L(r)(E,1)/r! |
Ω |
0.24912129798843 |
Real period |
R |
2.4361534735117 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005184 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
92736j1 23184b1 92736dp1 |
Quadratic twists by: -4 8 -3 |