Atkin-Lehner |
3+ 7- 19+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
80997d |
Isogeny class |
Conductor |
80997 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
192512 |
Modular degree for the optimal curve |
Δ |
-788198897367 = -1 · 32 · 73 · 192 · 294 |
Discriminant |
Eigenvalues |
1 3+ 4 7- 0 4 -8 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1488,47475] |
[a1,a2,a3,a4,a6] |
j |
-1063394339743/2297955969 |
j-invariant |
L |
3.1828423529962 |
L(r)(E,1)/r! |
Ω |
0.79571059161136 |
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 |
80997r1 |
Quadratic twists by: -7 |