Atkin-Lehner |
2- 3- 7- 59- |
Signs for the Atkin-Lehner involutions |
Class |
29736u |
Isogeny class |
Conductor |
29736 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
489600 |
Modular degree for the optimal curve |
Δ |
-5153517031090176 = -1 · 211 · 36 · 75 · 593 |
Discriminant |
Eigenvalues |
2- 3- 1 7- -6 6 -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2202987,-1258541818] |
[a1,a2,a3,a4,a6] |
Generators |
[3982:230454:1] |
Generators of the group modulo torsion |
j |
-791957789108586578/3451804853 |
j-invariant |
L |
5.7823299775399 |
L(r)(E,1)/r! |
Ω |
0.06196072087295 |
Real period |
R |
3.1107503248693 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
59472j1 3304a1 |
Quadratic twists by: -4 -3 |