Atkin-Lehner |
2+ 5+ 23- 43- |
Signs for the Atkin-Lehner involutions |
Class |
9890c |
Isogeny class |
Conductor |
9890 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
5376 |
Modular degree for the optimal curve |
Δ |
-247250000 = -1 · 24 · 56 · 23 · 43 |
Discriminant |
Eigenvalues |
2+ -1 5+ 4 1 -1 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1098,-14492] |
[a1,a2,a3,a4,a6] |
Generators |
[39:43:1] |
Generators of the group modulo torsion |
j |
-146604940216489/247250000 |
j-invariant |
L |
2.7460573849748 |
L(r)(E,1)/r! |
Ω |
0.41459454637783 |
Real period |
R |
1.6558692154577 |
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 |
79120h1 89010bw1 49450m1 |
Quadratic twists by: -4 -3 5 |