Atkin-Lehner |
2- 3+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
7056bc |
Isogeny class |
Conductor |
7056 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1728 |
Modular degree for the optimal curve |
Δ |
-265531392 = -1 · 212 · 33 · 74 |
Discriminant |
Eigenvalues |
2- 3+ 0 7+ 0 -7 0 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,0,-784] |
[a1,a2,a3,a4,a6] |
j |
0 |
j-invariant |
L |
1.5995912982503 |
L(r)(E,1)/r! |
Ω |
0.79979564912515 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
441b1 28224cx1 7056bc2 7056bh1 |
Quadratic twists by: -4 8 -3 -7 |