Atkin-Lehner |
2+ 3- 17+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
12546b |
Isogeny class |
Conductor |
12546 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-287012238139940706 = -1 · 2 · 330 · 17 · 41 |
Discriminant |
Eigenvalues |
2+ 3- -2 0 -4 2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-32733,-25867985] |
[a1,a2,a3,a4,a6] |
j |
-5320605737038033/393706773854514 |
j-invariant |
L |
0.54346988363258 |
L(r)(E,1)/r! |
Ω |
0.13586747090814 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
100368bn3 4182g4 |
Quadratic twists by: -4 -3 |