Atkin-Lehner |
2- 5- 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
122740n |
Isogeny class |
Conductor |
122740 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
-5728705390000 = -1 · 24 · 54 · 174 · 193 |
Discriminant |
Eigenvalues |
2- 0 5- 4 0 -4 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-45752,-3768479] |
[a1,a2,a3,a4,a6] |
Generators |
[627:14630:1] |
Generators of the group modulo torsion |
j |
-96510191468544/52200625 |
j-invariant |
L |
7.7195149284457 |
L(r)(E,1)/r! |
Ω |
0.16321232401087 |
Real period |
R |
3.9414481060569 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000083104 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
122740m1 |
Quadratic twists by: -19 |