Atkin-Lehner |
2+ 3- 5+ 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
111150bf |
Isogeny class |
Conductor |
111150 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
-5473915200 = -1 · 26 · 36 · 52 · 13 · 192 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 1 5 13+ -5 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-627,-6859] |
[a1,a2,a3,a4,a6] |
Generators |
[38:133:1] |
Generators of the group modulo torsion |
j |
-1497091545/300352 |
j-invariant |
L |
5.4834752865819 |
L(r)(E,1)/r! |
Ω |
0.47190287984821 |
Real period |
R |
1.4524904197654 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999822519 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12350m1 111150fl1 |
Quadratic twists by: -3 5 |