Atkin-Lehner |
2+ 7+ 13+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
101738a |
Isogeny class |
Conductor |
101738 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
408576 |
Modular degree for the optimal curve |
Δ |
-2702848696807168 = -1 · 28 · 7 · 138 · 432 |
Discriminant |
Eigenvalues |
2+ 0 0 7+ -4 13+ -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-34592,3528448] |
[a1,a2,a3,a4,a6] |
Generators |
[163:1402:1] |
Generators of the group modulo torsion |
j |
-948413390625/559965952 |
j-invariant |
L |
2.9690255015704 |
L(r)(E,1)/r! |
Ω |
0.42125102188531 |
Real period |
R |
3.5240573466321 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999483601 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7826h1 |
Quadratic twists by: 13 |