Atkin-Lehner |
2+ 3- 7+ 23+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
89838g |
Isogeny class |
Conductor |
89838 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
2614960663056 = 24 · 38 · 72 · 232 · 312 |
Discriminant |
Eigenvalues |
2+ 3- 2 7+ 4 -6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-5976,161392] |
[a1,a2,a3,a4,a6] |
Generators |
[-19:527:1] |
Generators of the group modulo torsion |
j |
32379402335617/3587051664 |
j-invariant |
L |
5.7875328051898 |
L(r)(E,1)/r! |
Ω |
0.78502961303361 |
Real period |
R |
1.8430937829653 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000014317 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
29946o2 |
Quadratic twists by: -3 |