Atkin-Lehner |
2- 3+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
17328x |
Isogeny class |
Conductor |
17328 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
57600 |
Modular degree for the optimal curve |
Δ |
-32951687786496 = -1 · 212 · 32 · 197 |
Discriminant |
Eigenvalues |
2- 3+ -3 5 -1 -2 -1 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-13477,667021] |
[a1,a2,a3,a4,a6] |
Generators |
[-44:1083:1] |
Generators of the group modulo torsion |
j |
-1404928/171 |
j-invariant |
L |
3.8766234113735 |
L(r)(E,1)/r! |
Ω |
0.63726007339595 |
Real period |
R |
1.5208168427668 |
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 |
1083e1 69312dt1 51984cv1 912l1 |
Quadratic twists by: -4 8 -3 -19 |