Atkin-Lehner |
2- 3+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
17328t |
Isogeny class |
Conductor |
17328 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
172800 |
Modular degree for the optimal curve |
Δ |
3558782280941568 = 214 · 35 · 197 |
Discriminant |
Eigenvalues |
2- 3+ 0 -4 -4 0 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-551728,-157527872] |
[a1,a2,a3,a4,a6] |
Generators |
[14472:1738576:1] |
Generators of the group modulo torsion |
j |
96386901625/18468 |
j-invariant |
L |
2.9399578747017 |
L(r)(E,1)/r! |
Ω |
0.17517544370858 |
Real period |
R |
4.1957334493649 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2166i1 69312di1 51984cn1 912h1 |
Quadratic twists by: -4 8 -3 -19 |