Atkin-Lehner |
2- 3- 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
81900bc |
Isogeny class |
Conductor |
81900 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
387072 |
Modular degree for the optimal curve |
Δ |
-785868378750000 = -1 · 24 · 312 · 57 · 7 · 132 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 4 13- -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-23700,1947125] |
[a1,a2,a3,a4,a6] |
Generators |
[55:900:1] |
Generators of the group modulo torsion |
j |
-8077950976/4312035 |
j-invariant |
L |
7.3984645932628 |
L(r)(E,1)/r! |
Ω |
0.46848085019721 |
Real period |
R |
1.9740573681099 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000083 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
27300f1 16380c1 |
Quadratic twists by: -3 5 |