Atkin-Lehner |
2+ 3+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
7056d |
Isogeny class |
Conductor |
7056 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
40320 |
Modular degree for the optimal curve |
Δ |
-29047955989248 = -1 · 28 · 39 · 78 |
Discriminant |
Eigenvalues |
2+ 3+ -4 7+ 0 -3 4 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-111132,-14261940] |
[a1,a2,a3,a4,a6] |
Generators |
[2966439:275662953:343] |
Generators of the group modulo torsion |
j |
-5225472 |
j-invariant |
L |
2.9628191655529 |
L(r)(E,1)/r! |
Ω |
0.13073888909579 |
Real period |
R |
11.331055304372 |
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 |
3528b1 28224dg1 7056c1 7056k1 |
Quadratic twists by: -4 8 -3 -7 |