Atkin-Lehner |
2+ 3+ 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
81120b |
Isogeny class |
Conductor |
81120 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
4967424 |
Modular degree for the optimal curve |
Δ |
-6.3626996238E+21 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 1 -3 13+ 3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-15880141,24663110341] |
[a1,a2,a3,a4,a6] |
Generators |
[-12939:4842188:27] |
Generators of the group modulo torsion |
j |
-22400965661211136/321826171875 |
j-invariant |
L |
5.347528334931 |
L(r)(E,1)/r! |
Ω |
0.13422882992032 |
Real period |
R |
4.9798619424231 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002546 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
81120p1 6240x1 |
Quadratic twists by: -4 13 |