Atkin-Lehner |
2+ 3- 61- |
Signs for the Atkin-Lehner involutions |
Class |
4392c |
Isogeny class |
Conductor |
4392 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
7680 |
Modular degree for the optimal curve |
Δ |
-39243987130032 = -1 · 24 · 311 · 614 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 0 -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-10434,-509047] |
[a1,a2,a3,a4,a6] |
Generators |
[1468490:56132993:1000] |
Generators of the group modulo torsion |
j |
-10770322266112/3364539363 |
j-invariant |
L |
4.1170395272662 |
L(r)(E,1)/r! |
Ω |
0.2324717053897 |
Real period |
R |
8.8549260658725 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
8784d1 35136n1 1464f1 109800br1 |
Quadratic twists by: -4 8 -3 5 |