Atkin-Lehner |
2- 3- 5- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
80100u |
Isogeny class |
Conductor |
80100 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
123264 |
Modular degree for the optimal curve |
Δ |
-2771716320000 = -1 · 28 · 37 · 54 · 892 |
Discriminant |
Eigenvalues |
2- 3- 5- 1 -4 -1 -8 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,600,-79900] |
[a1,a2,a3,a4,a6] |
Generators |
[40:90:1] [44:178:1] |
Generators of the group modulo torsion |
j |
204800/23763 |
j-invariant |
L |
10.823961432302 |
L(r)(E,1)/r! |
Ω |
0.38217773729355 |
Real period |
R |
0.39335833305894 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999997891 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
26700e1 80100m1 |
Quadratic twists by: -3 5 |