Atkin-Lehner |
2- 3+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
17328s |
Isogeny class |
Conductor |
17328 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2304 |
Modular degree for the optimal curve |
Δ |
-4435968 = -1 · 212 · 3 · 192 |
Discriminant |
Eigenvalues |
2- 3+ 0 -1 2 -5 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,32,64] |
[a1,a2,a3,a4,a6] |
Generators |
[0:8:1] |
Generators of the group modulo torsion |
j |
2375/3 |
j-invariant |
L |
3.7315616577493 |
L(r)(E,1)/r! |
Ω |
1.6464751160196 |
Real period |
R |
0.56659855066173 |
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 |
1083d1 69312dh1 51984ck1 17328ba1 |
Quadratic twists by: -4 8 -3 -19 |