Atkin-Lehner |
2- 3+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
17328r |
Isogeny class |
Conductor |
17328 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
656640 |
Modular degree for the optimal curve |
Δ |
-1.5622200105586E+21 |
Discriminant |
Eigenvalues |
2- 3+ 0 -1 2 3 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-6298848,6377045760] |
[a1,a2,a3,a4,a6] |
Generators |
[22544:3364736:1] |
Generators of the group modulo torsion |
j |
-1100553625/62208 |
j-invariant |
L |
4.3134906412351 |
L(r)(E,1)/r! |
Ω |
0.14847642256099 |
Real period |
R |
7.2629218949951 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2166h1 69312dg1 51984cj1 17328z1 |
Quadratic twists by: -4 8 -3 -19 |