Atkin-Lehner |
2+ 3+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
52416r |
Isogeny class |
Conductor |
52416 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
-58692501504 = -1 · 215 · 39 · 7 · 13 |
Discriminant |
Eigenvalues |
2+ 3+ -1 7- 5 13+ 5 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-108,-11664] |
[a1,a2,a3,a4,a6] |
j |
-216/91 |
j-invariant |
L |
1.9962172858499 |
L(r)(E,1)/r! |
Ω |
0.49905432133602 |
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 |
52416f1 26208bd1 52416q1 |
Quadratic twists by: -4 8 -3 |