Atkin-Lehner |
2- 3+ 5- |
Signs for the Atkin-Lehner involutions |
Class |
1200m |
Isogeny class |
Conductor |
1200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-127401984000 = -1 · 222 · 35 · 53 |
Discriminant |
Eigenvalues |
2- 3+ 5- 2 -2 -6 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-448,-17408] |
[a1,a2,a3,a4,a6] |
Generators |
[42:190:1] |
Generators of the group modulo torsion |
j |
-19465109/248832 |
j-invariant |
L |
2.3163980757346 |
L(r)(E,1)/r! |
Ω |
0.44509991123733 |
Real period |
R |
2.6021102422771 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
150a3 4800cl3 3600bm3 1200q3 |
Quadratic twists by: -4 8 -3 5 |