Atkin-Lehner |
3- 5- 7- 11+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
33495q |
Isogeny class |
Conductor |
33495 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
169344 |
Modular degree for the optimal curve |
Δ |
-3143928338428185 = -1 · 33 · 5 · 72 · 117 · 293 |
Discriminant |
Eigenvalues |
-1 3- 5- 7- 11+ 1 5 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,31825,1584522] |
[a1,a2,a3,a4,a6] |
j |
3564741943895302799/3143928338428185 |
j-invariant |
L |
1.7535485312435 |
L(r)(E,1)/r! |
Ω |
0.29225808854131 |
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 |
100485s1 |
Quadratic twists by: -3 |