Atkin-Lehner |
2+ 3- 19+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
56544c |
Isogeny class |
Conductor |
56544 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
140800 |
Modular degree for the optimal curve |
Δ |
-4416207630336 = -1 · 212 · 310 · 19 · 312 |
Discriminant |
Eigenvalues |
2+ 3- -3 -1 3 -4 -7 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-17517,892251] |
[a1,a2,a3,a4,a6] |
Generators |
[-138:837:1] [-3:972:1] |
Generators of the group modulo torsion |
j |
-145133526020608/1078175691 |
j-invariant |
L |
9.8455397911753 |
L(r)(E,1)/r! |
Ω |
0.78004070942922 |
Real period |
R |
0.3155457039667 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999942 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
56544b1 113088z1 |
Quadratic twists by: -4 8 |