Atkin-Lehner |
2- 3+ 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
93288bb |
Isogeny class |
Conductor |
93288 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
645120 |
Modular degree for the optimal curve |
Δ |
7270275098138832 = 24 · 34 · 139 · 232 |
Discriminant |
Eigenvalues |
2- 3+ 0 2 -6 13+ 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-112103,-13814880] |
[a1,a2,a3,a4,a6] |
Generators |
[5573:415233:1] |
Generators of the group modulo torsion |
j |
2017433344000/94139253 |
j-invariant |
L |
5.7056793130797 |
L(r)(E,1)/r! |
Ω |
0.26166669462423 |
Real period |
R |
2.7256426972321 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999983505 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7176b1 |
Quadratic twists by: 13 |