Atkin-Lehner |
2+ 3+ 5- 89- |
Signs for the Atkin-Lehner involutions |
Class |
53400g |
Isogeny class |
Conductor |
53400 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
42048 |
Modular degree for the optimal curve |
Δ |
-170880000 = -1 · 210 · 3 · 54 · 89 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 4 -6 -6 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-608,6012] |
[a1,a2,a3,a4,a6] |
Generators |
[18:24:1] |
Generators of the group modulo torsion |
j |
-38901700/267 |
j-invariant |
L |
5.4832731386655 |
L(r)(E,1)/r! |
Ω |
1.8190647903866 |
Real period |
R |
1.507168179935 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000008 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
106800w1 53400t1 |
Quadratic twists by: -4 5 |