Atkin-Lehner |
2+ 3+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
7056c |
Isogeny class |
Conductor |
7056 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
13440 |
Modular degree for the optimal curve |
Δ |
-39846304512 = -1 · 28 · 33 · 78 |
Discriminant |
Eigenvalues |
2+ 3+ 4 7+ 0 -3 -4 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-12348,528220] |
[a1,a2,a3,a4,a6] |
Generators |
[65:15:1] |
Generators of the group modulo torsion |
j |
-5225472 |
j-invariant |
L |
5.1346676590922 |
L(r)(E,1)/r! |
Ω |
1.1150217648009 |
Real period |
R |
2.3024966064268 |
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 |
3528n1 28224dh1 7056d1 7056l1 |
Quadratic twists by: -4 8 -3 -7 |