Atkin-Lehner |
2+ 3- 13+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
125736l |
Isogeny class |
Conductor |
125736 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
7224581126071296 = 210 · 32 · 138 · 312 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 4 13+ -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-71712,-6181200] |
[a1,a2,a3,a4,a6] |
j |
8251733668/1461681 |
j-invariant |
L |
5.3151633499444 |
L(r)(E,1)/r! |
Ω |
0.29528684201613 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
9672i2 |
Quadratic twists by: 13 |