Atkin-Lehner |
2- 3- 5+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
81900m |
Isogeny class |
Conductor |
81900 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
-251477881200 = -1 · 24 · 312 · 52 · 7 · 132 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 5 13+ 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1275,16585] |
[a1,a2,a3,a4,a6] |
Generators |
[24:247:1] |
Generators of the group modulo torsion |
j |
786080000/862407 |
j-invariant |
L |
7.1928715438118 |
L(r)(E,1)/r! |
Ω |
0.65425571379165 |
Real period |
R |
2.7484939727915 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999623 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
27300l1 81900br1 |
Quadratic twists by: -3 5 |