Atkin-Lehner |
2+ 3- 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
2574k |
Isogeny class |
Conductor |
2574 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
103039402752 = 28 · 39 · 112 · 132 |
Discriminant |
Eigenvalues |
2+ 3- -4 0 11+ 13- 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-331749,73629589] |
[a1,a2,a3,a4,a6] |
Generators |
[330:-77:1] |
Generators of the group modulo torsion |
j |
5538928862777598289/141343488 |
j-invariant |
L |
1.8664659385605 |
L(r)(E,1)/r! |
Ω |
0.77225020037093 |
Real period |
R |
0.60422967118169 |
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 |
20592by2 82368ca2 858i2 64350di2 |
Quadratic twists by: -4 8 -3 5 |