Atkin-Lehner |
2- 19- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
125248bl |
Isogeny class |
Conductor |
125248 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
501985968128 = 217 · 192 · 1032 |
Discriminant |
Eigenvalues |
2- -2 0 0 2 -6 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-61473,-5886881] |
[a1,a2,a3,a4,a6] |
Generators |
[698:17081:1] |
Generators of the group modulo torsion |
j |
196008125215250/3829849 |
j-invariant |
L |
3.1914424109883 |
L(r)(E,1)/r! |
Ω |
0.30319942482064 |
Real period |
R |
5.2629427899178 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998666883 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
125248k2 31312b2 |
Quadratic twists by: -4 8 |