Atkin-Lehner |
2- 7+ 13+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
101738r |
Isogeny class |
Conductor |
101738 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
163200 |
Modular degree for the optimal curve |
Δ |
-10503736334 = -1 · 2 · 75 · 132 · 432 |
Discriminant |
Eigenvalues |
2- -3 3 7+ 2 13+ -4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-201,-5001] |
[a1,a2,a3,a4,a6] |
Generators |
[60914:59933:2744] |
Generators of the group modulo torsion |
j |
-5289297273/62152286 |
j-invariant |
L |
7.5861359349118 |
L(r)(E,1)/r! |
Ω |
0.54684163993259 |
Real period |
R |
6.9363188171203 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000027436 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
101738m1 |
Quadratic twists by: 13 |