Atkin-Lehner |
5+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
112225d |
Isogeny class |
Conductor |
112225 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
861696 |
Modular degree for the optimal curve |
Δ |
-2367465470829296875 = -1 · 58 · 677 |
Discriminant |
Eigenvalues |
0 0 5+ -2 2 -2 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-224450,-84589594] |
[a1,a2,a3,a4,a6] |
j |
-884736/1675 |
j-invariant |
L |
0.82607837654882 |
L(r)(E,1)/r! |
Ω |
0.10325970135001 |
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 |
22445a1 1675a1 |
Quadratic twists by: 5 -67 |