Atkin-Lehner |
3- 5+ 7+ 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
101745n |
Isogeny class |
Conductor |
101745 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
131072 |
Modular degree for the optimal curve |
Δ |
-1187075092455 = -1 · 37 · 5 · 72 · 17 · 194 |
Discriminant |
Eigenvalues |
1 3- 5+ 7+ 4 -6 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,1260,-49829] |
[a1,a2,a3,a4,a6] |
Generators |
[550:4513:8] |
Generators of the group modulo torsion |
j |
303328992959/1628360895 |
j-invariant |
L |
5.7925843205476 |
L(r)(E,1)/r! |
Ω |
0.43459647778444 |
Real period |
R |
1.666081244496 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999932016 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
33915g1 |
Quadratic twists by: -3 |