Atkin-Lehner |
2+ 3- 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
41262i |
Isogeny class |
Conductor |
41262 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
107520 |
Modular degree for the optimal curve |
Δ |
5534719632 = 24 · 37 · 13 · 233 |
Discriminant |
Eigenvalues |
2+ 3- -4 0 -2 13+ -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-13593,608812] |
[a1,a2,a3,a4,a6] |
Generators |
[71:-90:1] |
Generators of the group modulo torsion |
j |
22826547306863/454896 |
j-invariant |
L |
3.3250486177392 |
L(r)(E,1)/r! |
Ω |
1.247759944305 |
Real period |
R |
0.38068776575047 |
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 |
123786bb1 41262h1 |
Quadratic twists by: -3 -23 |