Atkin-Lehner |
2- 3- 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
80850fr |
Isogeny class |
Conductor |
80850 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
1128960 |
Modular degree for the optimal curve |
Δ |
-151516780800000000 = -1 · 214 · 3 · 58 · 72 · 115 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 11+ 0 5 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,106812,13054992] |
[a1,a2,a3,a4,a6] |
j |
176022219667511/197899468800 |
j-invariant |
L |
6.0547281799034 |
L(r)(E,1)/r! |
Ω |
0.21624029370547 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16170l1 80850do1 |
Quadratic twists by: 5 -7 |