Atkin-Lehner |
2- 5+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
41140i |
Isogeny class |
Conductor |
41140 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
62224250000 = 24 · 56 · 114 · 17 |
Discriminant |
Eigenvalues |
2- -2 5+ -4 11- -1 17- -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-41906,-3315875] |
[a1,a2,a3,a4,a6] |
Generators |
[437:7875:1] [-950:15:8] |
Generators of the group modulo torsion |
j |
34743372953344/265625 |
j-invariant |
L |
5.2880262284308 |
L(r)(E,1)/r! |
Ω |
0.33367973974692 |
Real period |
R |
7.9238047722645 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
41140d2 |
Quadratic twists by: -11 |