Atkin-Lehner |
3- 5- 7+ 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
101745bc |
Isogeny class |
Conductor |
101745 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3093120 |
Modular degree for the optimal curve |
Δ |
-48995733057685155 = -1 · 36 · 5 · 75 · 17 · 196 |
Discriminant |
Eigenvalues |
2 3- 5- 7+ 0 -3 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-6068667,-5754251223] |
[a1,a2,a3,a4,a6] |
j |
-33905964767714432487424/67209510367195 |
j-invariant |
L |
3.0780531445853 |
L(r)(E,1)/r! |
Ω |
0.048094584872183 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
16 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11305b1 |
Quadratic twists by: -3 |