Atkin-Lehner |
2+ 3+ 5+ 23+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
106950b |
Isogeny class |
Conductor |
106950 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
152064 |
Modular degree for the optimal curve |
Δ |
-255302911800 = -1 · 23 · 34 · 52 · 232 · 313 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 3 5 -3 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1050,27180] |
[a1,a2,a3,a4,a6] |
Generators |
[-39:123:1] |
Generators of the group modulo torsion |
j |
-5128586820625/10212116472 |
j-invariant |
L |
5.1676843156978 |
L(r)(E,1)/r! |
Ω |
0.87630124455058 |
Real period |
R |
1.4742887616502 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000001752 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
106950cr1 |
Quadratic twists by: 5 |