Atkin-Lehner |
2+ 3- 5- 31- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
119970z |
Isogeny class |
Conductor |
119970 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
2838528 |
Modular degree for the optimal curve |
Δ |
5922711207936000000 = 222 · 37 · 56 · 312 · 43 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 2 -2 8 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-791244,-244094000] |
[a1,a2,a3,a4,a6] |
j |
75149791830966230209/8124432384000000 |
j-invariant |
L |
1.9343525097704 |
L(r)(E,1)/r! |
Ω |
0.161196061374 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
39990o1 |
Quadratic twists by: -3 |