Atkin-Lehner |
2+ 3- 5- 7+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
118440bd |
Isogeny class |
Conductor |
118440 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
13386784128076800 = 210 · 37 · 52 · 72 · 474 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 4 6 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-712227,-231286354] |
[a1,a2,a3,a4,a6] |
Generators |
[-31132:16445:64] |
Generators of the group modulo torsion |
j |
53524365472835716/17932827675 |
j-invariant |
L |
9.090253080351 |
L(r)(E,1)/r! |
Ω |
0.16434393392954 |
Real period |
R |
6.9140467060956 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999257 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
39480o4 |
Quadratic twists by: -3 |