Atkin-Lehner |
2+ 3+ 7+ 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
9282a |
Isogeny class |
Conductor |
9282 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-5845320936 = -1 · 23 · 34 · 74 · 13 · 172 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7+ -2 13- 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,399,2205] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:33:1] [-1:43:1] |
Generators of the group modulo torsion |
j |
6997462401383/5845320936 |
j-invariant |
L |
3.5148817358741 |
L(r)(E,1)/r! |
Ω |
0.87264284410155 |
Real period |
R |
2.0139291576346 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999985 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
74256da2 27846bh2 64974v2 120666bn2 |
Quadratic twists by: -4 -3 -7 13 |