Atkin-Lehner |
3- 5- 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
4785d |
Isogeny class |
Conductor |
4785 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
3072 |
Modular degree for the optimal curve |
Δ |
83952825 = 3 · 52 · 113 · 292 |
Discriminant |
Eigenvalues |
-1 3- 5- 2 11- -6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-2070,36075] |
[a1,a2,a3,a4,a6] |
Generators |
[35:65:1] |
Generators of the group modulo torsion |
j |
980952235382881/83952825 |
j-invariant |
L |
3.2066110084192 |
L(r)(E,1)/r! |
Ω |
1.8332215752898 |
Real period |
R |
0.58305572580375 |
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 |
76560bp1 14355a1 23925h1 52635t1 |
Quadratic twists by: -4 -3 5 -11 |