Atkin-Lehner |
2- 3+ 5- |
Signs for the Atkin-Lehner involutions |
Class |
1200n |
Isogeny class |
Conductor |
1200 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-40500000000 = -1 · 28 · 34 · 59 |
Discriminant |
Eigenvalues |
2- 3+ 5- -4 4 0 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,292,-9588] |
[a1,a2,a3,a4,a6] |
Generators |
[517:11750:1] |
Generators of the group modulo torsion |
j |
5488/81 |
j-invariant |
L |
2.1644454514042 |
L(r)(E,1)/r! |
Ω |
0.56107690322429 |
Real period |
R |
3.8576627178306 |
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 |
300c2 4800cs2 3600br2 1200s2 |
Quadratic twists by: -4 8 -3 5 |