Atkin-Lehner |
2- 3- 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
80850ga |
Isogeny class |
Conductor |
80850 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
483840 |
Modular degree for the optimal curve |
Δ |
-2123196796875000 = -1 · 23 · 3 · 510 · 77 · 11 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 11+ -4 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-638,2216892] |
[a1,a2,a3,a4,a6] |
j |
-25/1848 |
j-invariant |
L |
4.4376053111965 |
L(r)(E,1)/r! |
Ω |
0.36980044022981 |
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 |
80850bd1 11550br1 |
Quadratic twists by: 5 -7 |