Atkin-Lehner |
2+ 3+ 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
93288a |
Isogeny class |
Conductor |
93288 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
258048 |
Modular degree for the optimal curve |
Δ |
-389044821305088 = -1 · 28 · 34 · 138 · 23 |
Discriminant |
Eigenvalues |
2+ 3+ 0 2 -2 13+ -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-25068,1806804] |
[a1,a2,a3,a4,a6] |
Generators |
[618:4563:8] |
Generators of the group modulo torsion |
j |
-1409938000/314847 |
j-invariant |
L |
5.3369924412018 |
L(r)(E,1)/r! |
Ω |
0.5104425559952 |
Real period |
R |
2.6139045291463 |
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 |
7176k1 |
Quadratic twists by: 13 |