Atkin-Lehner |
2+ 5- 7+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
115150w |
Isogeny class |
Conductor |
115150 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
deg |
1382400 |
Modular degree for the optimal curve |
Δ |
-99711609200000000 = -1 · 210 · 58 · 74 · 473 |
Discriminant |
Eigenvalues |
2+ 1 5- 7+ 6 -4 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,112674,4356048] |
[a1,a2,a3,a4,a6] |
Generators |
[-249:49279:27] |
Generators of the group modulo torsion |
j |
168674019815/106314752 |
j-invariant |
L |
6.3098215124294 |
L(r)(E,1)/r! |
Ω |
0.20892748536246 |
Real period |
R |
5.0335020147018 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002279 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
115150bk1 115150ba1 |
Quadratic twists by: 5 -7 |