Atkin-Lehner |
2- 3- 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
92736fh |
Isogeny class |
Conductor |
92736 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
688128 |
Modular degree for the optimal curve |
Δ |
-28614517791326208 = -1 · 216 · 318 · 72 · 23 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 2 6 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-56460,-9638512] |
[a1,a2,a3,a4,a6] |
Generators |
[4922:344896:1] |
Generators of the group modulo torsion |
j |
-416618810500/598934007 |
j-invariant |
L |
8.008102612375 |
L(r)(E,1)/r! |
Ω |
0.14721585418464 |
Real period |
R |
6.7996265260075 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999938479 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
92736ba1 23184o1 30912bm1 |
Quadratic twists by: -4 8 -3 |