Atkin-Lehner |
2+ 3- 11+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
64614f |
Isogeny class |
Conductor |
64614 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-379542636 = -1 · 22 · 32 · 113 · 892 |
Discriminant |
Eigenvalues |
2+ 3- -2 4 11+ -6 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,173,-310] |
[a1,a2,a3,a4,a6] |
Generators |
[10:44:1] |
Generators of the group modulo torsion |
j |
433798093/285156 |
j-invariant |
L |
4.6932670842833 |
L(r)(E,1)/r! |
Ω |
0.96526519687475 |
Real period |
R |
1.2155382531088 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999989342 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
64614q2 |
Quadratic twists by: -11 |