Atkin-Lehner |
2+ 29+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
54752a |
Isogeny class |
Conductor |
54752 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
14080 |
Modular degree for the optimal curve |
Δ |
-413487104 = -1 · 212 · 29 · 592 |
Discriminant |
Eigenvalues |
2+ 1 -1 2 -3 -5 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-241,1663] |
[a1,a2,a3,a4,a6] |
Generators |
[18:59:1] |
Generators of the group modulo torsion |
j |
-379503424/100949 |
j-invariant |
L |
6.4675074191201 |
L(r)(E,1)/r! |
Ω |
1.5977371536874 |
Real period |
R |
1.0119792551866 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000047 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
54752c1 109504j1 |
Quadratic twists by: -4 8 |