Atkin-Lehner |
2- 3- 7- 53- |
Signs for the Atkin-Lehner involutions |
Class |
93492y |
Isogeny class |
Conductor |
93492 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
29952 |
Modular degree for the optimal curve |
Δ |
30291408 = 24 · 36 · 72 · 53 |
Discriminant |
Eigenvalues |
2- 3- 2 7- -3 5 -3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-504,-4347] |
[a1,a2,a3,a4,a6] |
Generators |
[-1605:342:125] |
Generators of the group modulo torsion |
j |
24772608/53 |
j-invariant |
L |
7.8644816803241 |
L(r)(E,1)/r! |
Ω |
1.00773825575 |
Real period |
R |
3.9020458058291 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000015104 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10388e1 93492j1 |
Quadratic twists by: -3 -7 |