Atkin-Lehner |
2- 3+ 11- 37- |
Signs for the Atkin-Lehner involutions |
Class |
107448m |
Isogeny class |
Conductor |
107448 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
20488655692032 = 28 · 3 · 117 · 372 |
Discriminant |
Eigenvalues |
2- 3+ 0 4 11- 4 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-22788,-1298460] |
[a1,a2,a3,a4,a6] |
j |
2885794000/45177 |
j-invariant |
L |
3.1115256864069 |
L(r)(E,1)/r! |
Ω |
0.38894075188239 |
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 |
9768d2 |
Quadratic twists by: -11 |