Atkin-Lehner |
2- 3- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
89376cu |
Isogeny class |
Conductor |
89376 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
115200 |
Modular degree for the optimal curve |
Δ |
-1270133597376 = -1 · 26 · 310 · 72 · 193 |
Discriminant |
Eigenvalues |
2- 3- 1 7- 3 4 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4650,132012] |
[a1,a2,a3,a4,a6] |
Generators |
[66:342:1] |
Generators of the group modulo torsion |
j |
-3546499558336/405017091 |
j-invariant |
L |
10.007859577104 |
L(r)(E,1)/r! |
Ω |
0.83717646655458 |
Real period |
R |
0.19923835210178 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000022 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
89376bk1 89376be1 |
Quadratic twists by: -4 -7 |