Atkin-Lehner |
2- 3+ 7- 11+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
93786bs |
Isogeny class |
Conductor |
93786 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
135168 |
Modular degree for the optimal curve |
Δ |
639962088612 = 22 · 3 · 78 · 11 · 292 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- 11+ 4 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-2598,-34497] |
[a1,a2,a3,a4,a6] |
Generators |
[3669:220421:1] |
Generators of the group modulo torsion |
j |
16484028625/5439588 |
j-invariant |
L |
8.4905888744726 |
L(r)(E,1)/r! |
Ω |
0.68637849184828 |
Real period |
R |
6.185063325994 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999989503 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13398bi1 |
Quadratic twists by: -7 |