Atkin-Lehner |
2+ 3+ 7+ 11- 59- |
Signs for the Atkin-Lehner involutions |
Class |
27258b |
Isogeny class |
Conductor |
27258 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
42307910419121424 = 24 · 32 · 78 · 114 · 592 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7+ 11- 6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1071381,-427170915] |
[a1,a2,a3,a4,a6] |
Generators |
[1269:15453:1] |
Generators of the group modulo torsion |
j |
136005404462724456046297/42307910419121424 |
j-invariant |
L |
3.0773438654039 |
L(r)(E,1)/r! |
Ω |
0.14839580509267 |
Real period |
R |
5.1843511740142 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
81774bq2 |
Quadratic twists by: -3 |