Atkin-Lehner |
2- 3+ 5- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
89280do |
Isogeny class |
Conductor |
89280 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-2459440263462912000 = -1 · 225 · 39 · 53 · 313 |
Discriminant |
Eigenvalues |
2- 3+ 5- 1 3 4 -6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,323028,26448336] |
[a1,a2,a3,a4,a6] |
Generators |
[2172:104760:1] |
Generators of the group modulo torsion |
j |
722458663317/476656000 |
j-invariant |
L |
8.5335088161176 |
L(r)(E,1)/r! |
Ω |
0.16145323971166 |
Real period |
R |
4.4045305998565 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999998882 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
89280v2 22320t2 89280dc1 |
Quadratic twists by: -4 8 -3 |