Atkin-Lehner |
3- 5- 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
84525dd |
Isogeny class |
Conductor |
84525 |
Conductor |
∏ cp |
288 |
Product of Tamagawa factors cp |
Δ |
-5.9539472632672E+25 |
Discriminant |
Eigenvalues |
1 3- 5- 7- 0 4 -8 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,36513549,361404217423] |
[a1,a2,a3,a4,a6] |
Generators |
[219503:102770697:1] |
Generators of the group modulo torsion |
j |
23429746579698523/259111509557481 |
j-invariant |
L |
8.6164210584546 |
L(r)(E,1)/r! |
Ω |
0.046026307964735 |
Real period |
R |
2.6000893822318 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004873 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
84525ba2 12075p2 |
Quadratic twists by: 5 -7 |