Atkin-Lehner |
2+ 3- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
52416dk |
Isogeny class |
Conductor |
52416 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
112640 |
Modular degree for the optimal curve |
Δ |
-15657855123456 = -1 · 215 · 37 · 75 · 13 |
Discriminant |
Eigenvalues |
2+ 3- -3 7- -3 13- -1 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4044,214576] |
[a1,a2,a3,a4,a6] |
Generators |
[-58:-504:1] [54:392:1] |
Generators of the group modulo torsion |
j |
-306182024/655473 |
j-invariant |
L |
8.394893646643 |
L(r)(E,1)/r! |
Ω |
0.62044864941071 |
Real period |
R |
0.16912950118066 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999992 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
52416cg1 26208r1 17472bl1 |
Quadratic twists by: -4 8 -3 |