Atkin-Lehner |
2+ 5- 19- |
Signs for the Atkin-Lehner involutions |
Class |
72200r |
Isogeny class |
Conductor |
72200 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
94091762000 = 24 · 53 · 196 |
Discriminant |
Eigenvalues |
2+ 2 5- -2 -4 4 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1203,6752] |
[a1,a2,a3,a4,a6] |
Generators |
[-86:1083:8] |
Generators of the group modulo torsion |
j |
2048 |
j-invariant |
L |
8.2848831183388 |
L(r)(E,1)/r! |
Ω |
0.95019452351847 |
Real period |
R |
2.1797860627732 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001428 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
72200bg1 200b1 |
Quadratic twists by: 5 -19 |