Atkin-Lehner |
2+ 3- 5+ 31+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
119970o |
Isogeny class |
Conductor |
119970 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
41969407424400 = 24 · 310 · 52 · 312 · 432 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 -4 -6 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-12015,402781] |
[a1,a2,a3,a4,a6] |
Generators |
[-22:821:1] |
Generators of the group modulo torsion |
j |
263140588243441/57571203600 |
j-invariant |
L |
2.8035614395343 |
L(r)(E,1)/r! |
Ω |
0.60700827277761 |
Real period |
R |
1.1546636120399 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.999999993009 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
39990v2 |
Quadratic twists by: -3 |