Atkin-Lehner |
2+ 11- 47- |
Signs for the Atkin-Lehner involutions |
Class |
33088n |
Isogeny class |
Conductor |
33088 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
3072 |
Modular degree for the optimal curve |
Δ |
-1555136 = -1 · 26 · 11 · 472 |
Discriminant |
Eigenvalues |
2+ -1 1 2 11- 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-55,-151] |
[a1,a2,a3,a4,a6] |
Generators |
[16:53:1] |
Generators of the group modulo torsion |
j |
-292754944/24299 |
j-invariant |
L |
5.2209604330669 |
L(r)(E,1)/r! |
Ω |
0.87109486951257 |
Real period |
R |
2.9967806124198 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999995 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
33088c1 16544d1 |
Quadratic twists by: -4 8 |