Atkin-Lehner |
2+ 3+ 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
41262g |
Isogeny class |
Conductor |
41262 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
378186684010447104 = 28 · 310 · 132 · 236 |
Discriminant |
Eigenvalues |
2+ 3+ -2 -4 4 13- -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-687446,-217666860] |
[a1,a2,a3,a4,a6] |
Generators |
[91524:-5198234:27] |
Generators of the group modulo torsion |
j |
242702053576633/2554695936 |
j-invariant |
L |
2.5844954556279 |
L(r)(E,1)/r! |
Ω |
0.16590747576738 |
Real period |
R |
7.7889662406118 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999746 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
123786bn2 78a2 |
Quadratic twists by: -3 -23 |