Atkin-Lehner |
2+ 3- 5- 31- 43- |
Signs for the Atkin-Lehner involutions |
Class |
119970ba |
Isogeny class |
Conductor |
119970 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
deg |
4623360 |
Modular degree for the optimal curve |
Δ |
90256790160000000 = 210 · 39 · 57 · 31 · 432 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 0 -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-12256614,-16512891980] |
[a1,a2,a3,a4,a6] |
Generators |
[4301:99437:1] |
Generators of the group modulo torsion |
j |
279323664314863121490529/123809040000000 |
j-invariant |
L |
5.9857243202837 |
L(r)(E,1)/r! |
Ω |
0.080687625911584 |
Real period |
R |
2.6494256696747 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000059235 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
39990p1 |
Quadratic twists by: -3 |