Atkin-Lehner |
2+ 3+ 5- 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
111150p |
Isogeny class |
Conductor |
111150 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1501440 |
Modular degree for the optimal curve |
Δ |
-1707264000000000 = -1 · 217 · 33 · 59 · 13 · 19 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 0 3 13+ 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2847867,1850525541] |
[a1,a2,a3,a4,a6] |
Generators |
[1069:4653:1] |
Generators of the group modulo torsion |
j |
-48438323602431183/32374784 |
j-invariant |
L |
5.064526611342 |
L(r)(E,1)/r! |
Ω |
0.39076050880391 |
Real period |
R |
3.2401729842332 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000070323 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
111150dl1 111150dp1 |
Quadratic twists by: -3 5 |