Atkin-Lehner |
2- 11- 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
17204b |
Isogeny class |
Conductor |
17204 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
deg |
950400 |
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 |
7.1312930439346 |
L(r)(E,1)/r! |
Ω |
0.059427442032789 |
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 |
68816g1 |
Quadratic twists by: -4 |