Atkin-Lehner |
3- 5+ 7+ 11+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
33495l |
Isogeny class |
Conductor |
33495 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
506880 |
Modular degree for the optimal curve |
Δ |
372546895819415625 = 33 · 55 · 712 · 11 · 29 |
Discriminant |
Eigenvalues |
1 3- 5+ 7+ 11+ 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-599959,176389757] |
[a1,a2,a3,a4,a6] |
Generators |
[1511277145:2066296691:3048625] |
Generators of the group modulo torsion |
j |
23882918097368705914729/372546895819415625 |
j-invariant |
L |
6.8383172759704 |
L(r)(E,1)/r! |
Ω |
0.30214893854634 |
Real period |
R |
15.088182026762 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
100485w1 |
Quadratic twists by: -3 |