Atkin-Lehner |
2+ 3+ 7+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
9198a |
Isogeny class |
Conductor |
9198 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
69888 |
Modular degree for the optimal curve |
Δ |
-27232831587483648 = -1 · 224 · 33 · 77 · 73 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7+ 0 1 8 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,12567,7918029] |
[a1,a2,a3,a4,a6] |
j |
8128966878211509/1008623392129024 |
j-invariant |
L |
1.1527688224617 |
L(r)(E,1)/r! |
Ω |
0.28819220561543 |
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 |
73584r1 9198f1 64386e1 |
Quadratic twists by: -4 -3 -7 |