Atkin-Lehner |
2+ 3- 5- 11+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
9570m |
Isogeny class |
Conductor |
9570 |
Conductor |
∏ cp |
27 |
Product of Tamagawa factors cp |
deg |
207360 |
Modular degree for the optimal curve |
Δ |
-65135812500000 = -1 · 25 · 33 · 59 · 113 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 5- -4 11+ -4 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-2750888,1755903638] |
[a1,a2,a3,a4,a6] |
Generators |
[204:34585:1] |
Generators of the group modulo torsion |
j |
-2302195558228013816407801/65135812500000 |
j-invariant |
L |
3.5203355342916 |
L(r)(E,1)/r! |
Ω |
0.45315894866141 |
Real period |
R |
2.5894781104146 |
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 |
76560bs1 28710bi1 47850bt1 105270cj1 |
Quadratic twists by: -4 -3 5 -11 |