Atkin-Lehner |
2- 7+ 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
89012d |
Isogeny class |
Conductor |
89012 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1451520 |
Modular degree for the optimal curve |
Δ |
-19420718809144576 = -1 · 28 · 75 · 11 · 177 |
Discriminant |
Eigenvalues |
2- -2 1 7+ 11+ -3 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2438100,1464499012] |
[a1,a2,a3,a4,a6] |
Generators |
[-308:46758:1] [912:578:1] |
Generators of the group modulo torsion |
j |
-259385049258064/3142909 |
j-invariant |
L |
7.8574008625783 |
L(r)(E,1)/r! |
Ω |
0.35051919295875 |
Real period |
R |
1.8680386649333 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999994911 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5236e1 |
Quadratic twists by: 17 |