Atkin-Lehner |
2+ 5+ 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
102850a |
Isogeny class |
Conductor |
102850 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1374912 |
Modular degree for the optimal curve |
Δ |
-16418861361971200 = -1 · 214 · 52 · 119 · 17 |
Discriminant |
Eigenvalues |
2+ 0 5+ -3 11+ -2 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1629227,800855941] |
[a1,a2,a3,a4,a6] |
Generators |
[18066:76151:27] |
Generators of the group modulo torsion |
j |
-8113242988755/278528 |
j-invariant |
L |
2.5800231211764 |
L(r)(E,1)/r! |
Ω |
0.36553611388563 |
Real period |
R |
1.7645473438977 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000022302 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
102850cw1 102850ca1 |
Quadratic twists by: 5 -11 |