Atkin-Lehner |
2+ 3+ 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
93288a |
Isogeny class |
Conductor |
93288 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
305915585983488 = 210 · 32 · 137 · 232 |
Discriminant |
Eigenvalues |
2+ 3+ 0 2 -2 13+ -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-420528,105100956] |
[a1,a2,a3,a4,a6] |
Generators |
[9174:31096:27] |
Generators of the group modulo torsion |
j |
1663985078500/61893 |
j-invariant |
L |
5.3369924412018 |
L(r)(E,1)/r! |
Ω |
0.5104425559952 |
Real period |
R |
1.3069522645731 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000986 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7176k2 |
Quadratic twists by: 13 |