Atkin-Lehner |
3- 7- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
29547p |
Isogeny class |
Conductor |
29547 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
24192 |
Modular degree for the optimal curve |
Δ |
75204885861 = 36 · 73 · 673 |
Discriminant |
Eigenvalues |
-1 3- 3 7- 2 3 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1091,-3986] |
[a1,a2,a3,a4,a6] |
Generators |
[-19:107:1] |
Generators of the group modulo torsion |
j |
573856191/300763 |
j-invariant |
L |
4.692105416545 |
L(r)(E,1)/r! |
Ω |
0.88052495166945 |
Real period |
R |
2.6643795883632 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3283b1 29547s1 |
Quadratic twists by: -3 -7 |