Atkin-Lehner |
2+ 3- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
59328f |
Isogeny class |
Conductor |
59328 |
Conductor |
∏ cp |
4 |
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] |
j |
357911/4944 |
j-invariant |
L |
1.728677804023 |
L(r)(E,1)/r! |
Ω |
0.43216945092302 |
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 |
59328bm1 1854f1 19776l1 |
Quadratic twists by: -4 8 -3 |