Atkin-Lehner |
2+ 3- 5- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
110400er |
Isogeny class |
Conductor |
110400 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
81920 |
Modular degree for the optimal curve |
Δ |
-232875000000 = -1 · 26 · 34 · 59 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 5- -1 -4 -4 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-583,-24037] |
[a1,a2,a3,a4,a6] |
Generators |
[58:375:1] |
Generators of the group modulo torsion |
j |
-175616/1863 |
j-invariant |
L |
6.5833223656488 |
L(r)(E,1)/r! |
Ω |
0.42127505239146 |
Real period |
R |
1.9533919485057 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003139 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
110400cf1 55200m1 110400cg1 |
Quadratic twists by: -4 8 5 |