Atkin-Lehner |
3- 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
38025cg |
Isogeny class |
Conductor |
38025 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
3019796891764453125 = 36 · 58 · 139 |
Discriminant |
Eigenvalues |
0 3- 5- 4 -6 13+ -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-2028000,1108455156] |
[a1,a2,a3,a4,a6] |
Generators |
[-9438:344925:8] |
Generators of the group modulo torsion |
j |
671088640/2197 |
j-invariant |
L |
4.6461511185441 |
L(r)(E,1)/r! |
Ω |
0.25429779333016 |
Real period |
R |
4.5676282299809 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999941 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4225h2 38025ba2 2925t2 |
Quadratic twists by: -3 5 13 |