Atkin-Lehner |
2- 3- 5- 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
53550ek |
Isogeny class |
Conductor |
53550 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
115200 |
Modular degree for the optimal curve |
Δ |
-1084387500000 = -1 · 25 · 36 · 58 · 7 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ -5 -6 17- 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2930,79697] |
[a1,a2,a3,a4,a6] |
Generators |
[69:415:1] |
Generators of the group modulo torsion |
j |
-9765625/3808 |
j-invariant |
L |
7.8936644998318 |
L(r)(E,1)/r! |
Ω |
0.81933885347489 |
Real period |
R |
0.32113959795447 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000038 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5950h1 53550bs1 |
Quadratic twists by: -3 5 |