Atkin-Lehner |
2- 7+ 29+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
100688l |
Isogeny class |
Conductor |
100688 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-242125040742195968 = -1 · 28 · 79 · 293 · 312 |
Discriminant |
Eigenvalues |
2- -1 0 7+ 6 -4 6 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-745253,249007945] |
[a1,a2,a3,a4,a6] |
j |
-178811533779951616000/945800940399203 |
j-invariant |
L |
1.2568283733447 |
L(r)(E,1)/r! |
Ω |
0.31420712070822 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25172g2 |
Quadratic twists by: -4 |