Atkin-Lehner |
3+ 5+ 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
3315b |
Isogeny class |
Conductor |
3315 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
16286595 = 3 · 5 · 13 · 174 |
Discriminant |
Eigenvalues |
-1 3+ 5+ -4 -4 13- 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1046,-13456] |
[a1,a2,a3,a4,a6] |
Generators |
[-19:10:1] [37:-4:1] |
Generators of the group modulo torsion |
j |
126574061279329/16286595 |
j-invariant |
L |
2.2772855863689 |
L(r)(E,1)/r! |
Ω |
0.8394944402535 |
Real period |
R |
5.4253738373352 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999996 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
53040co4 9945k3 16575h3 43095f4 |
Quadratic twists by: -4 -3 5 13 |