Atkin-Lehner |
2- 3- 7+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
9198i |
Isogeny class |
Conductor |
9198 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
8064 |
Modular degree for the optimal curve |
Δ |
-643712832 = -1 · 26 · 39 · 7 · 73 |
Discriminant |
Eigenvalues |
2- 3- 4 7+ 0 1 2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1013,-12211] |
[a1,a2,a3,a4,a6] |
j |
-157551496201/883008 |
j-invariant |
L |
5.0761730157965 |
L(r)(E,1)/r! |
Ω |
0.42301441798304 |
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 |
73584bk1 3066e1 64386bz1 |
Quadratic twists by: -4 -3 -7 |