Atkin-Lehner |
2- 3+ 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
1716a |
Isogeny class |
Conductor |
1716 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
17102562048 = 28 · 33 · 114 · 132 |
Discriminant |
Eigenvalues |
2- 3+ 0 -2 11+ 13- -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-668,2376] |
[a1,a2,a3,a4,a6] |
Generators |
[25:26:1] |
Generators of the group modulo torsion |
j |
128962402000/66806883 |
j-invariant |
L |
2.4130659473475 |
L(r)(E,1)/r! |
Ω |
1.0851456648809 |
Real period |
R |
2.2237253720332 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6864z2 27456bd2 5148f2 42900x2 |
Quadratic twists by: -4 8 -3 5 |