Atkin-Lehner |
2- 3- 5+ 29+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
80910r |
Isogeny class |
Conductor |
80910 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
534528 |
Modular degree for the optimal curve |
Δ |
-1374412603392000 = -1 · 224 · 36 · 53 · 29 · 31 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 -4 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,8782,-1757519] |
[a1,a2,a3,a4,a6] |
Generators |
[161:1871:1] |
Generators of the group modulo torsion |
j |
102759703687719/1885339648000 |
j-invariant |
L |
6.7492721436579 |
L(r)(E,1)/r! |
Ω |
0.23416356593092 |
Real period |
R |
2.4019080107972 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000008152 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8990c1 |
Quadratic twists by: -3 |