Atkin-Lehner |
3- 5+ 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
71775bn |
Isogeny class |
Conductor |
71775 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
259200 |
Modular degree for the optimal curve |
Δ |
-11355029296875 = -1 · 36 · 511 · 11 · 29 |
Discriminant |
Eigenvalues |
-2 3- 5+ -4 11- -5 4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-3675,183406] |
[a1,a2,a3,a4,a6] |
Generators |
[35:-313:1] |
Generators of the group modulo torsion |
j |
-481890304/996875 |
j-invariant |
L |
2.0109673017737 |
L(r)(E,1)/r! |
Ω |
0.63796126389552 |
Real period |
R |
0.7880444378725 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999970651 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7975a1 14355g1 |
Quadratic twists by: -3 5 |