Atkin-Lehner |
2- 5+ 23+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
81650n |
Isogeny class |
Conductor |
81650 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
473760 |
Modular degree for the optimal curve |
Δ |
-257248531250 = -1 · 2 · 56 · 23 · 713 |
Discriminant |
Eigenvalues |
2- 3 5+ -2 -4 5 5 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-25230,-1536353] |
[a1,a2,a3,a4,a6] |
j |
-113668283030121/16463906 |
j-invariant |
L |
9.2807676479969 |
L(r)(E,1)/r! |
Ω |
0.18940342027866 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
49 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3266d1 |
Quadratic twists by: 5 |