Atkin-Lehner |
2- 3- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
17328ba |
Isogeny class |
Conductor |
17328 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
43776 |
Modular degree for the optimal curve |
Δ |
-208694022647808 = -1 · 212 · 3 · 198 |
Discriminant |
Eigenvalues |
2- 3- 0 -1 2 5 -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,11432,-507820] |
[a1,a2,a3,a4,a6] |
Generators |
[1074:2888:27] |
Generators of the group modulo torsion |
j |
2375/3 |
j-invariant |
L |
6.2562738000996 |
L(r)(E,1)/r! |
Ω |
0.30101311962194 |
Real period |
R |
1.7320047400694 |
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 |
1083a1 69312cc1 51984bx1 17328s1 |
Quadratic twists by: -4 8 -3 -19 |