Atkin-Lehner |
2- 3+ 5- 11- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
97680bu |
Isogeny class |
Conductor |
97680 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
2148960000 = 28 · 3 · 54 · 112 · 37 |
Discriminant |
Eigenvalues |
2- 3+ 5- 2 11- -4 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-500,3852] |
[a1,a2,a3,a4,a6] |
j |
54108072016/8394375 |
j-invariant |
L |
2.8059182121736 |
L(r)(E,1)/r! |
Ω |
1.4029590880073 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24420m2 |
Quadratic twists by: -4 |