Atkin-Lehner |
2+ 3- 7- |
Signs for the Atkin-Lehner involutions |
Class |
7056z |
Isogeny class |
Conductor |
7056 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
197605142784 = 28 · 38 · 76 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 4 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1911,-24010] |
[a1,a2,a3,a4,a6] |
Generators |
[-26:90:1] |
Generators of the group modulo torsion |
j |
35152/9 |
j-invariant |
L |
3.7980299066997 |
L(r)(E,1)/r! |
Ω |
0.73572177178356 |
Real period |
R |
2.5811591095724 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
3528l2 28224fv2 2352c2 144b2 |
Quadratic twists by: -4 8 -3 -7 |