Atkin-Lehner |
2- 3- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
10512o |
Isogeny class |
Conductor |
10512 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
3840 |
Modular degree for the optimal curve |
Δ |
-653930496 = -1 · 212 · 37 · 73 |
Discriminant |
Eigenvalues |
2- 3- 1 -2 -4 -2 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-912,10672] |
[a1,a2,a3,a4,a6] |
Generators |
[17:9:1] |
Generators of the group modulo torsion |
j |
-28094464/219 |
j-invariant |
L |
4.2681755108911 |
L(r)(E,1)/r! |
Ω |
1.6263479899037 |
Real period |
R |
1.312196263465 |
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 |
657b1 42048bo1 3504u1 |
Quadratic twists by: -4 8 -3 |