Atkin-Lehner |
2- 11+ 17+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
68816g |
Isogeny class |
Conductor |
68816 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3801600 |
Modular degree for the optimal curve |
Δ |
-3.6393467109576E+19 |
Discriminant |
Eigenvalues |
2- -3 2 -4 11+ -1 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2591689,1631933143] |
[a1,a2,a3,a4,a6] |
j |
-120324034574164793795328/2274591694348515047 |
j-invariant |
L |
0.82399899901441 |
L(r)(E,1)/r! |
Ω |
0.20599974946734 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17204b1 |
Quadratic twists by: -4 |