Atkin-Lehner |
2+ 3- 17+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
29784d |
Isogeny class |
Conductor |
29784 |
Conductor |
∏ cp |
26 |
Product of Tamagawa factors cp |
deg |
31616 |
Modular degree for the optimal curve |
Δ |
-31656877488 = -1 · 24 · 313 · 17 · 73 |
Discriminant |
Eigenvalues |
2+ 3- -4 -1 -2 -4 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-235,8594] |
[a1,a2,a3,a4,a6] |
Generators |
[-22:60:1] [-19:81:1] |
Generators of the group modulo torsion |
j |
-90085328896/1978554843 |
j-invariant |
L |
7.6153826645133 |
L(r)(E,1)/r! |
Ω |
0.983236794655 |
Real period |
R |
0.29789297435042 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999987 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
59568b1 89352r1 |
Quadratic twists by: -4 -3 |