Atkin-Lehner |
3+ 5+ 7- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
105105g |
Isogeny class |
Conductor |
105105 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
252357105 = 3 · 5 · 76 · 11 · 13 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 7- 11+ 13+ -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-2206,38954] |
[a1,a2,a3,a4,a6] |
Generators |
[28:-3:1] [36:70:1] |
Generators of the group modulo torsion |
j |
10091699281/2145 |
j-invariant |
L |
5.7169989970185 |
L(r)(E,1)/r! |
Ω |
1.7034329050723 |
Real period |
R |
6.7123265982001 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999974386 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2145g1 |
Quadratic twists by: -7 |