Atkin-Lehner |
2- 3- 5+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
27450by |
Isogeny class |
Conductor |
27450 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
deg |
152064 |
Modular degree for the optimal curve |
Δ |
-48026520000000 = -1 · 29 · 39 · 57 · 61 |
Discriminant |
Eigenvalues |
2- 3- 5+ -5 -6 1 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,7645,210147] |
[a1,a2,a3,a4,a6] |
Generators |
[29:660:1] [-21:210:1] |
Generators of the group modulo torsion |
j |
4338722591/4216320 |
j-invariant |
L |
10.261022164534 |
L(r)(E,1)/r! |
Ω |
0.41797219013743 |
Real period |
R |
0.17048286954542 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9150e1 5490l1 |
Quadratic twists by: -3 5 |