Atkin-Lehner |
2- 3- 5+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
95370dc |
Isogeny class |
Conductor |
95370 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
1048320 |
Modular degree for the optimal curve |
Δ |
-128246572265625000 = -1 · 23 · 35 · 513 · 11 · 173 |
Discriminant |
Eigenvalues |
2- 3- 5+ 1 11- -6 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-80586,-19356084] |
[a1,a2,a3,a4,a6] |
j |
-11780292753143153/26103515625000 |
j-invariant |
L |
3.9780777821041 |
L(r)(E,1)/r! |
Ω |
0.13260259077504 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
95370cj1 |
Quadratic twists by: 17 |