Atkin-Lehner |
2- 3+ 5+ 7- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
29820b |
Isogeny class |
Conductor |
29820 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
125244000000 = 28 · 32 · 56 · 72 · 71 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -4 -2 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3116,-63720] |
[a1,a2,a3,a4,a6] |
Generators |
[-34:42:1] |
Generators of the group modulo torsion |
j |
13074210168784/489234375 |
j-invariant |
L |
3.7557728014106 |
L(r)(E,1)/r! |
Ω |
0.64045350441961 |
Real period |
R |
0.97737326636332 |
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 |
119280cc2 89460m2 |
Quadratic twists by: -4 -3 |