Atkin-Lehner |
2- 3- 5+ |
Signs for the Atkin-Lehner involutions |
Class |
1200p |
Isogeny class |
Conductor |
1200 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
5184000000000 = 215 · 34 · 59 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 0 -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2133408,1198675188] |
[a1,a2,a3,a4,a6] |
Generators |
[618:10800:1] |
Generators of the group modulo torsion |
j |
16778985534208729/81000 |
j-invariant |
L |
2.7857614073248 |
L(r)(E,1)/r! |
Ω |
0.51804870109956 |
Real period |
R |
1.3443530508869 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
150c7 4800bp8 3600bk7 240b8 |
Quadratic twists by: -4 8 -3 5 |