Atkin-Lehner |
2- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
13552x |
Isogeny class |
Conductor |
13552 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
76032 |
Modular degree for the optimal curve |
Δ |
-134919139696574464 = -1 · 218 · 74 · 118 |
Discriminant |
Eigenvalues |
2- 0 -1 7- 11- -1 -1 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-97163,-21170886] |
[a1,a2,a3,a4,a6] |
j |
-115538049/153664 |
j-invariant |
L |
1.0308655263946 |
L(r)(E,1)/r! |
Ω |
0.12885819079932 |
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 |
1694e1 54208cp1 121968fm1 94864bx1 |
Quadratic twists by: -4 8 -3 -7 |