Atkin-Lehner |
2+ 3- 5+ 7+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
29610g |
Isogeny class |
Conductor |
29610 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-1537388489708820 = -1 · 22 · 38 · 5 · 74 · 474 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 0 6 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-11655,1950561] |
[a1,a2,a3,a4,a6] |
Generators |
[-120:1329:1] |
Generators of the group modulo torsion |
j |
-240189477479281/2108900534580 |
j-invariant |
L |
3.7488357464924 |
L(r)(E,1)/r! |
Ω |
0.407539930392 |
Real period |
R |
0.5749184722351 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9870t4 |
Quadratic twists by: -3 |