Atkin-Lehner |
2- 3+ 5+ 13+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
72150bt |
Isogeny class |
Conductor |
72150 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
228096 |
Modular degree for the optimal curve |
Δ |
-10240072876800 = -1 · 28 · 39 · 52 · 133 · 37 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 -3 13+ 6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,877,154001] |
[a1,a2,a3,a4,a6] |
j |
2983675120295/409602915072 |
j-invariant |
L |
4.4529888249506 |
L(r)(E,1)/r! |
Ω |
0.55662360131901 |
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 |
72150bn1 |
Quadratic twists by: 5 |