Atkin-Lehner |
2+ 3- 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
41262i |
Isogeny class |
Conductor |
41262 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
Δ |
-39339403464348 = -1 · 22 · 314 · 132 · 233 |
Discriminant |
Eigenvalues |
2+ 3- -4 0 -2 13+ -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-13133,652052] |
[a1,a2,a3,a4,a6] |
Generators |
[129:988:1] |
Generators of the group modulo torsion |
j |
-20586593988143/3233287044 |
j-invariant |
L |
3.3250486177392 |
L(r)(E,1)/r! |
Ω |
0.62387997215248 |
Real period |
R |
0.19034388287523 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000019 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
123786bb2 41262h2 |
Quadratic twists by: -3 -23 |