Atkin-Lehner |
37+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
99937d |
Isogeny class |
Conductor |
99937 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-13672756033561 = -1 · 376 · 732 |
Discriminant |
Eigenvalues |
-1 0 -2 2 -2 6 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,5219,-104194] |
[a1,a2,a3,a4,a6] |
j |
6128487/5329 |
j-invariant |
L |
0.77771262453041 |
L(r)(E,1)/r! |
Ω |
0.38885636628111 |
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 |
73a1 |
Quadratic twists by: 37 |