Atkin-Lehner |
2- 3- 5- 23- |
Signs for the Atkin-Lehner involutions |
Class |
110400js |
Isogeny class |
Conductor |
110400 |
Conductor |
∏ cp |
468 |
Product of Tamagawa factors cp |
deg |
22044672 |
Modular degree for the optimal curve |
Δ |
1.2667650676031E+24 |
Discriminant |
Eigenvalues |
2- 3- 5- -3 5 -3 -6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-78101633,260064043263] |
[a1,a2,a3,a4,a6] |
Generators |
[3973:-111780:1] |
Generators of the group modulo torsion |
j |
1286305460227974664900/30926881533278943 |
j-invariant |
L |
7.370367694423 |
L(r)(E,1)/r! |
Ω |
0.085943454933662 |
Real period |
R |
0.18324430788403 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002049 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
110400by1 27600r1 110400fu1 |
Quadratic twists by: -4 8 5 |