Atkin-Lehner |
2- 23- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
10672f |
Isogeny class |
Conductor |
10672 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3072 |
Modular degree for the optimal curve |
Δ |
-1005387776 = -1 · 216 · 232 · 29 |
Discriminant |
Eigenvalues |
2- -1 1 0 3 1 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-120,1648] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:46:1] |
Generators of the group modulo torsion |
j |
-47045881/245456 |
j-invariant |
L |
4.0987190196784 |
L(r)(E,1)/r! |
Ω |
1.3522348370291 |
Real period |
R |
0.7577676057887 |
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 |
1334a1 42688r1 96048bb1 |
Quadratic twists by: -4 8 -3 |