Atkin-Lehner |
2- 3- 23+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
58512l |
Isogeny class |
Conductor |
58512 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
191232 |
Modular degree for the optimal curve |
Δ |
-67693878576 = -1 · 24 · 38 · 233 · 53 |
Discriminant |
Eigenvalues |
2- 3- -3 2 4 3 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-80597,8780166] |
[a1,a2,a3,a4,a6] |
Generators |
[166:54:1] |
Generators of the group modulo torsion |
j |
-3618809718954262528/4230867411 |
j-invariant |
L |
7.4899809231367 |
L(r)(E,1)/r! |
Ω |
0.92749278063766 |
Real period |
R |
1.0094392483938 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000155 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14628a1 |
Quadratic twists by: -4 |