Atkin-Lehner |
2- 83- |
Signs for the Atkin-Lehner involutions |
Class |
110224j |
Isogeny class |
Conductor |
110224 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1322496 |
Modular degree for the optimal curve |
Δ |
-1778388237656195072 = -1 · 216 · 837 |
Discriminant |
Eigenvalues |
2- 1 2 -1 5 2 -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-718752,242918132] |
[a1,a2,a3,a4,a6] |
Generators |
[-296618:5070304:343] |
Generators of the group modulo torsion |
j |
-30664297/1328 |
j-invariant |
L |
9.7402431853106 |
L(r)(E,1)/r! |
Ω |
0.26234576155242 |
Real period |
R |
4.6409379295318 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000022368 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13778c1 1328d1 |
Quadratic twists by: -4 -83 |