Atkin-Lehner |
2- 3+ 31- 47- |
Signs for the Atkin-Lehner involutions |
Class |
17484b |
Isogeny class |
Conductor |
17484 |
Conductor |
∏ cp |
21 |
Product of Tamagawa factors cp |
deg |
587160 |
Modular degree for the optimal curve |
Δ |
-9.3889348601762E+20 |
Discriminant |
Eigenvalues |
2- 3+ -1 -1 0 1 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-443061,-1478449503] |
[a1,a2,a3,a4,a6] |
j |
-37572950224353624064/3667552679756315619 |
j-invariant |
L |
1.4587277219177 |
L(r)(E,1)/r! |
Ω |
0.069463224853224 |
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 |
69936w1 52452g1 |
Quadratic twists by: -4 -3 |