Atkin-Lehner |
2- 5- 7+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
34160z |
Isogeny class |
Conductor |
34160 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
8448 |
Modular degree for the optimal curve |
Δ |
-122429440 = -1 · 213 · 5 · 72 · 61 |
Discriminant |
Eigenvalues |
2- 2 5- 7+ 0 1 -5 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-40,-528] |
[a1,a2,a3,a4,a6] |
Generators |
[12:24:1] |
Generators of the group modulo torsion |
j |
-1771561/29890 |
j-invariant |
L |
8.3430757159642 |
L(r)(E,1)/r! |
Ω |
0.79933686321944 |
Real period |
R |
1.3046870630927 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4270c1 |
Quadratic twists by: -4 |