Atkin-Lehner |
3+ 7+ 19+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
80997b |
Isogeny class |
Conductor |
80997 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
225792 |
Modular degree for the optimal curve |
Δ |
85762944477 = 33 · 78 · 19 · 29 |
Discriminant |
Eigenvalues |
1 3+ -4 7+ 5 -2 -7 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-9482,-359085] |
[a1,a2,a3,a4,a6] |
Generators |
[-76978:46491:1331] |
Generators of the group modulo torsion |
j |
16357269481/14877 |
j-invariant |
L |
3.791299464761 |
L(r)(E,1)/r! |
Ω |
0.48382946870925 |
Real period |
R |
7.8360242863962 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999933562 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
80997q1 |
Quadratic twists by: -7 |