Atkin-Lehner |
2- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
59584ci |
Isogeny class |
Conductor |
59584 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
112320 |
Modular degree for the optimal curve |
Δ |
-18643876560064 = -1 · 26 · 76 · 195 |
Discriminant |
Eigenvalues |
2- 0 3 7- -5 -4 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-686,-207858] |
[a1,a2,a3,a4,a6] |
Generators |
[1062133463891:19047073460813:3261545587] |
Generators of the group modulo torsion |
j |
-4741632/2476099 |
j-invariant |
L |
6.3403329596645 |
L(r)(E,1)/r! |
Ω |
0.30925176634653 |
Real period |
R |
20.502172176956 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
59584cw1 29792m1 1216n1 |
Quadratic twists by: -4 8 -7 |