Atkin-Lehner |
3- 5- 7- 71- |
Signs for the Atkin-Lehner involutions |
Class |
52185m |
Isogeny class |
Conductor |
52185 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
26688087405 = 32 · 5 · 76 · 712 |
Discriminant |
Eigenvalues |
1 3- 5- 7- 0 0 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-11688,485293] |
[a1,a2,a3,a4,a6] |
Generators |
[526:105:8] |
Generators of the group modulo torsion |
j |
1500730351849/226845 |
j-invariant |
L |
8.9970929461004 |
L(r)(E,1)/r! |
Ω |
1.1476950140301 |
Real period |
R |
3.9196358074617 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000028 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1065a2 |
Quadratic twists by: -7 |