Atkin-Lehner |
2- 3- 7- 53- |
Signs for the Atkin-Lehner involutions |
Class |
53424bx |
Isogeny class |
Conductor |
53424 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
14795777654784 = 214 · 38 · 72 · 532 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 0 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6411,-69190] |
[a1,a2,a3,a4,a6] |
Generators |
[-65:270:1] |
Generators of the group modulo torsion |
j |
9759185353/4955076 |
j-invariant |
L |
5.0317605025721 |
L(r)(E,1)/r! |
Ω |
0.56303852510235 |
Real period |
R |
2.2341990282518 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999288 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
6678n2 17808q2 |
Quadratic twists by: -4 -3 |