Atkin-Lehner |
2+ 3- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
47808g |
Isogeny class |
Conductor |
47808 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
-247836672 = -1 · 212 · 36 · 83 |
Discriminant |
Eigenvalues |
2+ 3- 0 -3 1 -6 7 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,60,-736] |
[a1,a2,a3,a4,a6] |
Generators |
[8:16:1] [20:92:1] |
Generators of the group modulo torsion |
j |
8000/83 |
j-invariant |
L |
8.9157346110034 |
L(r)(E,1)/r! |
Ω |
0.86486450691734 |
Real period |
R |
5.1544112052785 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999984 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
47808u1 23904t1 5312f1 |
Quadratic twists by: -4 8 -3 |