Atkin-Lehner |
3- 11- 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
80223m |
Isogeny class |
Conductor |
80223 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
494208 |
Modular degree for the optimal curve |
Δ |
-14909376346571421 = -1 · 32 · 1110 · 13 · 173 |
Discriminant |
Eigenvalues |
1 3- 1 0 11- 13+ 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-110113,15232325] |
[a1,a2,a3,a4,a6] |
j |
-5692551601/574821 |
j-invariant |
L |
2.3071510755559 |
L(r)(E,1)/r! |
Ω |
0.38452518686034 |
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 |
80223p1 |
Quadratic twists by: -11 |