Atkin-Lehner |
2- 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
87856r |
Isogeny class |
Conductor |
87856 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
120960 |
Modular degree for the optimal curve |
Δ |
-117405135616 = -1 · 28 · 176 · 19 |
Discriminant |
Eigenvalues |
2- 2 1 -3 5 -4 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-6165,189113] |
[a1,a2,a3,a4,a6] |
Generators |
[209:2826:1] |
Generators of the group modulo torsion |
j |
-4194304/19 |
j-invariant |
L |
9.7497296191194 |
L(r)(E,1)/r! |
Ω |
1.055129977289 |
Real period |
R |
4.6201557312454 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999954438 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21964c1 304f1 |
Quadratic twists by: -4 17 |