Atkin-Lehner |
2- 3- 5+ 7- 89- |
Signs for the Atkin-Lehner involutions |
Class |
93450cv |
Isogeny class |
Conductor |
93450 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
deg |
516096 |
Modular degree for the optimal curve |
Δ |
86123520000000 = 216 · 33 · 57 · 7 · 89 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -4 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-45938,3759492] |
[a1,a2,a3,a4,a6] |
Generators |
[-188:2494:1] |
Generators of the group modulo torsion |
j |
686152305984601/5511905280 |
j-invariant |
L |
13.416276391911 |
L(r)(E,1)/r! |
Ω |
0.60888401671507 |
Real period |
R |
0.45904597662808 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002097 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18690e1 |
Quadratic twists by: 5 |