Atkin-Lehner |
3- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
603c |
Isogeny class |
Conductor |
603 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
480 |
Modular degree for the optimal curve |
Δ |
-11868849 = -1 · 311 · 67 |
Discriminant |
Eigenvalues |
-1 3- 3 -3 0 4 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-7151,-230952] |
[a1,a2,a3,a4,a6] |
j |
-55467626237353/16281 |
j-invariant |
L |
1.0383471924675 |
L(r)(E,1)/r! |
Ω |
0.25958679811688 |
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 |
9648t1 38592bg1 201c1 15075j1 |
Quadratic twists by: -4 8 -3 5 |