Atkin-Lehner |
2- 3+ 7- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
53424s |
Isogeny class |
Conductor |
53424 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
50688 |
Modular degree for the optimal curve |
Δ |
119642406912 = 214 · 39 · 7 · 53 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- 4 4 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3051,-62694] |
[a1,a2,a3,a4,a6] |
Generators |
[373:7120:1] |
Generators of the group modulo torsion |
j |
38958219/1484 |
j-invariant |
L |
5.4991041238349 |
L(r)(E,1)/r! |
Ω |
0.64388222205441 |
Real period |
R |
4.2702717480349 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000006 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6678i1 53424t1 |
Quadratic twists by: -4 -3 |