Atkin-Lehner |
3- 7- 19- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
80997p |
Isogeny class |
Conductor |
80997 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
340992 |
Modular degree for the optimal curve |
Δ |
-1688072036140791 = -1 · 312 · 78 · 19 · 29 |
Discriminant |
Eigenvalues |
1 3- -2 7- 2 -4 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-82787,-9385855] |
[a1,a2,a3,a4,a6] |
j |
-533352538299673/14348375559 |
j-invariant |
L |
1.6860541946165 |
L(r)(E,1)/r! |
Ω |
0.14050451578128 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11571a1 |
Quadratic twists by: -7 |