Atkin-Lehner |
2+ 3- 5+ 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
111150bu |
Isogeny class |
Conductor |
111150 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
1419264 |
Modular degree for the optimal curve |
Δ |
-6605385788149200 = -1 · 24 · 36 · 52 · 137 · 192 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -5 -3 13- 7 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-59607,-6816339] |
[a1,a2,a3,a4,a6] |
Generators |
[633:-14766:1] |
Generators of the group modulo torsion |
j |
-1285144810759705/362435434192 |
j-invariant |
L |
3.5728888521917 |
L(r)(E,1)/r! |
Ω |
0.15057031767549 |
Real period |
R |
0.42373282891597 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999997942 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12350r1 111150ez1 |
Quadratic twists by: -3 5 |