Atkin-Lehner |
2- 3+ 23- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
122544s |
Isogeny class |
Conductor |
122544 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
934179522674688 = 216 · 39 · 232 · 372 |
Discriminant |
Eigenvalues |
2- 3+ 4 2 -4 -2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-44523,3303450] |
[a1,a2,a3,a4,a6] |
Generators |
[50:13915:8] |
Generators of the group modulo torsion |
j |
121066986123/11587216 |
j-invariant |
L |
9.9545757858025 |
L(r)(E,1)/r! |
Ω |
0.48304976077428 |
Real period |
R |
5.1519411572945 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000011638 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15318h2 122544o2 |
Quadratic twists by: -4 -3 |