Atkin-Lehner |
2+ 3- 5+ 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
9570i |
Isogeny class |
Conductor |
9570 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
2304 |
Modular degree for the optimal curve |
Δ |
-2449920 = -1 · 29 · 3 · 5 · 11 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 11- 0 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,26,56] |
[a1,a2,a3,a4,a6] |
Generators |
[0:7:1] |
Generators of the group modulo torsion |
j |
2053225511/2449920 |
j-invariant |
L |
3.2213344549519 |
L(r)(E,1)/r! |
Ω |
1.7227120705852 |
Real period |
R |
1.8699204062915 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
76560w1 28710bp1 47850bz1 105270ca1 |
Quadratic twists by: -4 -3 5 -11 |