Atkin-Lehner |
3- 5- 7+ 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
101745bb |
Isogeny class |
Conductor |
101745 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
57344 |
Modular degree for the optimal curve |
Δ |
667548945 = 310 · 5 · 7 · 17 · 19 |
Discriminant |
Eigenvalues |
-1 3- 5- 7+ -4 -2 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2147,-37726] |
[a1,a2,a3,a4,a6] |
Generators |
[-26:13:1] [94:717:1] |
Generators of the group modulo torsion |
j |
1500730351849/915705 |
j-invariant |
L |
7.294356945132 |
L(r)(E,1)/r! |
Ω |
0.70141210009836 |
Real period |
R |
10.39953109408 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000542 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
33915l1 |
Quadratic twists by: -3 |