Atkin-Lehner |
2+ 3- 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
82800bo |
Isogeny class |
Conductor |
82800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
64512 |
Modular degree for the optimal curve |
Δ |
-66638764800 = -1 · 28 · 39 · 52 · 232 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -3 2 -1 8 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-300,-12580] |
[a1,a2,a3,a4,a6] |
Generators |
[242:621:8] |
Generators of the group modulo torsion |
j |
-640000/14283 |
j-invariant |
L |
6.6485783356774 |
L(r)(E,1)/r! |
Ω |
0.47569896004206 |
Real period |
R |
1.747055094734 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003111 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
41400bo1 27600e1 82800bw1 |
Quadratic twists by: -4 -3 5 |