Atkin-Lehner |
2+ 3+ 5+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
84600d |
Isogeny class |
Conductor |
84600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
-101520000000 = -1 · 210 · 33 · 57 · 47 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -3 -2 1 -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-675,16750] |
[a1,a2,a3,a4,a6] |
Generators |
[15:-100:1] [-10:150:1] |
Generators of the group modulo torsion |
j |
-78732/235 |
j-invariant |
L |
10.212857408078 |
L(r)(E,1)/r! |
Ω |
0.93480864176243 |
Real period |
R |
0.68281738047142 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999155 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
84600bc1 16920j1 |
Quadratic twists by: -3 5 |