Atkin-Lehner |
2- 7+ 13- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
125398p |
Isogeny class |
Conductor |
125398 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-237079465168 = -1 · 24 · 74 · 133 · 532 |
Discriminant |
Eigenvalues |
2- -2 -2 7+ 0 13- 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,406,-23180] |
[a1,a2,a3,a4,a6] |
Generators |
[36:178:1] |
Generators of the group modulo torsion |
j |
3368254499/107910544 |
j-invariant |
L |
5.3655146679371 |
L(r)(E,1)/r! |
Ω |
0.47724417125649 |
Real period |
R |
1.4053379434969 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998704714 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
125398i2 |
Quadratic twists by: 13 |