Atkin-Lehner |
5+ 23- 71- |
Signs for the Atkin-Lehner involutions |
Class |
40825d |
Isogeny class |
Conductor |
40825 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
366787109375 = 510 · 232 · 71 |
Discriminant |
Eigenvalues |
1 0 5+ 0 0 -2 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-9167,338866] |
[a1,a2,a3,a4,a6] |
Generators |
[114:818:1] |
Generators of the group modulo torsion |
j |
5452705332801/23474375 |
j-invariant |
L |
5.757010939457 |
L(r)(E,1)/r! |
Ω |
0.95946260152712 |
Real period |
R |
3.0001226365111 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8165c2 |
Quadratic twists by: 5 |