Atkin-Lehner |
2+ 3+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
21294c |
Isogeny class |
Conductor |
21294 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
31104 |
Modular degree for the optimal curve |
Δ |
801335808 = 29 · 33 · 73 · 132 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7+ -3 13+ -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-22632,1316160] |
[a1,a2,a3,a4,a6] |
Generators |
[87:-42:1] |
Generators of the group modulo torsion |
j |
280965399667875/175616 |
j-invariant |
L |
3.1152700782904 |
L(r)(E,1)/r! |
Ω |
1.3129087623086 |
Real period |
R |
1.1864000636314 |
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 |
21294bo2 21294bv1 |
Quadratic twists by: -3 13 |