Atkin-Lehner |
3- 5- 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
55545w |
Isogeny class |
Conductor |
55545 |
Conductor |
∏ cp |
288 |
Product of Tamagawa factors cp |
deg |
158340096 |
Modular degree for the optimal curve |
Δ |
-1.8554788402714E+30 |
Discriminant |
Eigenvalues |
2 3- 5- 7+ 5 0 -6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-3429362230,101340200258131] |
[a1,a2,a3,a4,a6] |
j |
-2476357085090396229632/1030161895751953125 |
j-invariant |
L |
7.1206075508874 |
L(r)(E,1)/r! |
Ω |
0.024724331770435 |
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 |
55545o1 |
Quadratic twists by: -23 |