Atkin-Lehner |
3- 5- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
37485bu |
Isogeny class |
Conductor |
37485 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
Δ |
754440839467875 = 36 · 53 · 73 · 176 |
Discriminant |
Eigenvalues |
-1 3- 5- 7- 2 -6 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-35552,-2207096] |
[a1,a2,a3,a4,a6] |
Generators |
[-103:646:1] |
Generators of the group modulo torsion |
j |
19873882747503/3017196125 |
j-invariant |
L |
3.6458024550391 |
L(r)(E,1)/r! |
Ω |
0.3512264591124 |
Real period |
R |
0.5766780251903 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999992 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4165d2 37485w2 |
Quadratic twists by: -3 -7 |