Atkin-Lehner |
2- 3- 103- |
Signs for the Atkin-Lehner involutions |
Class |
59328bm |
Isogeny class |
Conductor |
59328 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
-944813113344 = -1 · 222 · 37 · 103 |
Discriminant |
Eigenvalues |
2- 3- -1 2 -6 1 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,852,45776] |
[a1,a2,a3,a4,a6] |
Generators |
[-22:128:1] [-20:144:1] |
Generators of the group modulo torsion |
j |
357911/4944 |
j-invariant |
L |
9.8507095158086 |
L(r)(E,1)/r! |
Ω |
0.65371287150229 |
Real period |
R |
0.94180391969927 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999888 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
59328f1 14832n1 19776x1 |
Quadratic twists by: -4 8 -3 |