Atkin-Lehner |
2- 3+ 5- 7+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
72240bw |
Isogeny class |
Conductor |
72240 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-3273116958720 = -1 · 214 · 32 · 5 · 74 · 432 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ -6 -2 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-400,87232] |
[a1,a2,a3,a4,a6] |
Generators |
[2:294:1] |
Generators of the group modulo torsion |
j |
-1732323601/799100820 |
j-invariant |
L |
4.1631037401248 |
L(r)(E,1)/r! |
Ω |
0.64507330484887 |
Real period |
R |
1.6134227337362 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000593 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9030bd2 |
Quadratic twists by: -4 |