Atkin-Lehner |
3- 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
3465h |
Isogeny class |
Conductor |
3465 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-3.1974746112792E+20 |
Discriminant |
Eigenvalues |
2 3- 5+ 7- 11+ -6 7 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-241113,861529329] |
[a1,a2,a3,a4,a6] |
Generators |
[-2158772623706:-634992588359743:21346140824] |
Generators of the group modulo torsion |
j |
-2126464142970105856/438611057788643355 |
j-invariant |
L |
6.1888498734106 |
L(r)(E,1)/r! |
Ω |
0.14012175139753 |
Real period |
R |
22.083829996716 |
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 |
55440dg2 1155n2 17325k2 24255bo2 |
Quadratic twists by: -4 -3 5 -7 |