Atkin-Lehner |
3+ 5+ 29+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
93525b |
Isogeny class |
Conductor |
93525 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
156672 |
Modular degree for the optimal curve |
Δ |
942556640625 = 32 · 59 · 29 · 432 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 2 6 -2 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-2963,39656] |
[a1,a2,a3,a4,a6] |
Generators |
[-55:227:1] |
Generators of the group modulo torsion |
j |
184122897769/60323625 |
j-invariant |
L |
4.6394084787724 |
L(r)(E,1)/r! |
Ω |
0.81406088600179 |
Real period |
R |
2.8495463666004 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999977939 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18705f1 |
Quadratic twists by: 5 |