Atkin-Lehner |
2- 3+ 7- 17+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
49266bg |
Isogeny class |
Conductor |
49266 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-461219469247656 = -1 · 23 · 39 · 72 · 173 · 233 |
Discriminant |
Eigenvalues |
2- 3+ -3 7- -6 -4 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-5294,-1042523] |
[a1,a2,a3,a4,a6] |
Generators |
[127:503:1] |
Generators of the group modulo torsion |
j |
-833503293531/23432376632 |
j-invariant |
L |
6.0805066441898 |
L(r)(E,1)/r! |
Ω |
0.22870288925431 |
Real period |
R |
2.215577112589 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
49266j1 |
Quadratic twists by: -3 |