Atkin-Lehner |
2- 3+ 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
81600hb |
Isogeny class |
Conductor |
81600 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
153600 |
Modular degree for the optimal curve |
Δ |
-8262000000000 = -1 · 210 · 35 · 59 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 5- 1 -5 -4 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3833,-164463] |
[a1,a2,a3,a4,a6] |
Generators |
[86856:1330125:343] |
Generators of the group modulo torsion |
j |
-3114752/4131 |
j-invariant |
L |
4.1404168661736 |
L(r)(E,1)/r! |
Ω |
0.28915578968159 |
Real period |
R |
7.1594915516749 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999987613 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
81600el1 20400dq1 81600js1 |
Quadratic twists by: -4 8 5 |