Atkin-Lehner |
2+ 3- 5+ 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
9570h |
Isogeny class |
Conductor |
9570 |
Conductor |
∏ cp |
27 |
Product of Tamagawa factors cp |
deg |
10368 |
Modular degree for the optimal curve |
Δ |
-30389764680 = -1 · 23 · 39 · 5 · 113 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 11- 2 -3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,106,-8368] |
[a1,a2,a3,a4,a6] |
Generators |
[48:304:1] |
Generators of the group modulo torsion |
j |
133511182631/30389764680 |
j-invariant |
L |
4.0085047895155 |
L(r)(E,1)/r! |
Ω |
0.55306528304114 |
Real period |
R |
2.4159322672084 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
76560u1 28710bo1 47850by1 105270by1 |
Quadratic twists by: -4 -3 5 -11 |