Atkin-Lehner |
2+ 5- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
34400p |
Isogeny class |
Conductor |
34400 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
10560 |
Modular degree for the optimal curve |
Δ |
-1075000000 = -1 · 26 · 58 · 43 |
Discriminant |
Eigenvalues |
2+ -2 5- -2 -3 1 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,42,1588] |
[a1,a2,a3,a4,a6] |
Generators |
[8:50:1] [-3:38:1] |
Generators of the group modulo torsion |
j |
320/43 |
j-invariant |
L |
5.9115282008952 |
L(r)(E,1)/r! |
Ω |
1.1940868998666 |
Real period |
R |
0.82511138867632 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
34400bo1 68800cj1 34400bf1 |
Quadratic twists by: -4 8 5 |