Atkin-Lehner |
2+ 3- 17+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
64158l |
Isogeny class |
Conductor |
64158 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
332928 |
Modular degree for the optimal curve |
Δ |
-2685303875398068 = -1 · 22 · 32 · 1710 · 37 |
Discriminant |
Eigenvalues |
2+ 3- 0 0 -2 -4 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-43501,-4294420] |
[a1,a2,a3,a4,a6] |
j |
-4515625/1332 |
j-invariant |
L |
0.65125426835646 |
L(r)(E,1)/r! |
Ω |
0.16281356492153 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
64158j1 |
Quadratic twists by: 17 |