Atkin-Lehner |
3- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
28611s |
Isogeny class |
Conductor |
28611 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
9871517456361 = 37 · 11 · 177 |
Discriminant |
Eigenvalues |
1 3- 2 0 11- -2 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-31266,-2114753] |
[a1,a2,a3,a4,a6] |
Generators |
[-644365541429490:90001148616761:6113429299125] |
Generators of the group modulo torsion |
j |
192100033/561 |
j-invariant |
L |
7.4423183573485 |
L(r)(E,1)/r! |
Ω |
0.35909310094844 |
Real period |
R |
20.725317021384 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9537c1 1683e1 |
Quadratic twists by: -3 17 |