Atkin-Lehner |
2+ 3+ 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
71478b |
Isogeny class |
Conductor |
71478 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
39168 |
Modular degree for the optimal curve |
Δ |
-6812139312 = -1 · 24 · 33 · 112 · 194 |
Discriminant |
Eigenvalues |
2+ 3+ 2 1 11+ -1 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,474,-220] |
[a1,a2,a3,a4,a6] |
Generators |
[43:-335:1] |
Generators of the group modulo torsion |
j |
3343221/1936 |
j-invariant |
L |
5.8015012440834 |
L(r)(E,1)/r! |
Ω |
0.79207891342973 |
Real period |
R |
0.30518325180908 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000562 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
71478bm1 71478bj1 |
Quadratic twists by: -3 -19 |