Atkin-Lehner |
3+ 5+ 13- 41- |
Signs for the Atkin-Lehner involutions |
Class |
39975i |
Isogeny class |
Conductor |
39975 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
7410240703125 = 34 · 57 · 134 · 41 |
Discriminant |
Eigenvalues |
1 3+ 5+ 0 0 13- 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-28125,-1822500] |
[a1,a2,a3,a4,a6] |
Generators |
[-100:100:1] |
Generators of the group modulo torsion |
j |
157472748162001/474255405 |
j-invariant |
L |
5.5243153145575 |
L(r)(E,1)/r! |
Ω |
0.36872538549538 |
Real period |
R |
1.8727742690994 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
119925bc4 7995j3 |
Quadratic twists by: -3 5 |