Atkin-Lehner |
2- 3- 5- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
124950ix |
Isogeny class |
Conductor |
124950 |
Conductor |
∏ cp |
360 |
Product of Tamagawa factors cp |
deg |
1036800 |
Modular degree for the optimal curve |
Δ |
-85051403325000000 = -1 · 26 · 35 · 58 · 77 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -2 0 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-55763,14914017] |
[a1,a2,a3,a4,a6] |
Generators |
[-248:3799:1] |
Generators of the group modulo torsion |
j |
-417267265/1850688 |
j-invariant |
L |
13.50594027057 |
L(r)(E,1)/r! |
Ω |
0.2966906834451 |
Real period |
R |
0.12644987725701 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000065745 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
124950y1 17850bn1 |
Quadratic twists by: 5 -7 |