Atkin-Lehner |
2- 3- 5+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
111630y |
Isogeny class |
Conductor |
111630 |
Conductor |
∏ cp |
126 |
Product of Tamagawa factors cp |
deg |
1270080 |
Modular degree for the optimal curve |
Δ |
-5999857090560 = -1 · 214 · 39 · 5 · 612 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 0 -4 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1144041,470893401] |
[a1,a2,a3,a4,a6] |
Generators |
[618:-333:1] |
Generators of the group modulo torsion |
j |
-44502953307765248329/1612431360 |
j-invariant |
L |
14.603018345274 |
L(r)(E,1)/r! |
Ω |
0.55855150657224 |
Real period |
R |
0.20749558382139 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003772 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
111630k1 |
Quadratic twists by: 61 |