Atkin-Lehner |
2+ 3- 7- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
53424n |
Isogeny class |
Conductor |
53424 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
62300160 |
Modular degree for the optimal curve |
Δ |
-1.0145614255595E+27 |
Discriminant |
Eigenvalues |
2+ 3- -3 7- 3 4 4 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-14910268764,700772998802924] |
[a1,a2,a3,a4,a6] |
Generators |
[2749043:34451725707:1331] |
Generators of the group modulo torsion |
j |
-1964321789317697989075215127552/5436393098205250433259 |
j-invariant |
L |
5.6160029507416 |
L(r)(E,1)/r! |
Ω |
0.042848071312289 |
Real period |
R |
3.64077255258 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000017 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
26712e1 17808g1 |
Quadratic twists by: -4 -3 |