Atkin-Lehner |
2+ 3- 5- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
80400bj |
Isogeny class |
Conductor |
80400 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
-241200000000 = -1 · 210 · 32 · 58 · 67 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 -2 4 -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-208,23588] |
[a1,a2,a3,a4,a6] |
Generators |
[8:-150:1] |
Generators of the group modulo torsion |
j |
-2500/603 |
j-invariant |
L |
8.3690846675696 |
L(r)(E,1)/r! |
Ω |
0.80560694660918 |
Real period |
R |
0.4328560752813 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000577 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40200i1 80400f1 |
Quadratic twists by: -4 5 |