Atkin-Lehner |
2+ 3+ 5- 7+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
106050h |
Isogeny class |
Conductor |
106050 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
584467002000 = 24 · 310 · 53 · 72 · 101 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ -2 -2 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-43270,-3482300] |
[a1,a2,a3,a4,a6] |
Generators |
[-121:71:1] [-120:70:1] |
Generators of the group modulo torsion |
j |
71678691260775773/4675736016 |
j-invariant |
L |
6.7567807405299 |
L(r)(E,1)/r! |
Ω |
0.33101922981477 |
Real period |
R |
5.1030122495338 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000003294 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
106050cl2 |
Quadratic twists by: 5 |