Atkin-Lehner |
2- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
32368be |
Isogeny class |
Conductor |
32368 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
2160 |
Modular degree for the optimal curve |
Δ |
-32368 = -1 · 24 · 7 · 172 |
Discriminant |
Eigenvalues |
2- -2 -2 7- 0 4 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,6,-5] |
[a1,a2,a3,a4,a6] |
Generators |
[3:7:1] |
Generators of the group modulo torsion |
j |
4352/7 |
j-invariant |
L |
3.1105714650368 |
L(r)(E,1)/r! |
Ω |
1.94890146435 |
Real period |
R |
1.596063999097 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8092c1 129472dg1 32368s1 |
Quadratic twists by: -4 8 17 |