Atkin-Lehner |
5+ 7+ 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
56525l |
Isogeny class |
Conductor |
56525 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
31104 |
Modular degree for the optimal curve |
Δ |
1731078125 = 56 · 73 · 17 · 19 |
Discriminant |
Eigenvalues |
0 2 5+ 7+ 0 1 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-1433,21268] |
[a1,a2,a3,a4,a6] |
Generators |
[74:743:8] |
Generators of the group modulo torsion |
j |
20842283008/110789 |
j-invariant |
L |
6.956449067637 |
L(r)(E,1)/r! |
Ω |
1.4997632154692 |
Real period |
R |
4.6383649070487 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000176 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2261e1 |
Quadratic twists by: 5 |