Atkin-Lehner |
2- 3- 5+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
40200bh |
Isogeny class |
Conductor |
40200 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
32640 |
Modular degree for the optimal curve |
Δ |
-94218750000 = -1 · 24 · 32 · 510 · 67 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 0 2 -1 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2083,-40162] |
[a1,a2,a3,a4,a6] |
Generators |
[167:2073:1] |
Generators of the group modulo torsion |
j |
-6400000/603 |
j-invariant |
L |
6.1465854730471 |
L(r)(E,1)/r! |
Ω |
0.35144655898571 |
Real period |
R |
4.372347171917 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
80400k1 120600p1 40200j1 |
Quadratic twists by: -4 -3 5 |