Atkin-Lehner |
3+ 5- 7- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
105105z |
Isogeny class |
Conductor |
105105 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1580544 |
Modular degree for the optimal curve |
Δ |
-97582316245769355 = -1 · 3 · 5 · 710 · 116 · 13 |
Discriminant |
Eigenvalues |
-2 3+ 5- 7- 11+ 13+ 1 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,23210,14959986] |
[a1,a2,a3,a4,a6] |
Generators |
[-770:481094:125] |
Generators of the group modulo torsion |
j |
4894969856/345454395 |
j-invariant |
L |
2.8772036727032 |
L(r)(E,1)/r! |
Ω |
0.25732537653253 |
Real period |
R |
5.5905944721052 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000061007 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
105105bp1 |
Quadratic twists by: -7 |