Atkin-Lehner |
2- 3- 7+ 13- 53- |
Signs for the Atkin-Lehner involutions |
Class |
28938s |
Isogeny class |
Conductor |
28938 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
64512 |
Modular degree for the optimal curve |
Δ |
3155743997952 = 224 · 3 · 7 · 132 · 53 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ 0 13- -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-5284,-121072] |
[a1,a2,a3,a4,a6] |
Generators |
[88:268:1] |
Generators of the group modulo torsion |
j |
16316134467587137/3155743997952 |
j-invariant |
L |
8.5897697157882 |
L(r)(E,1)/r! |
Ω |
0.5674945637431 |
Real period |
R |
1.2613585903995 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
86814o1 |
Quadratic twists by: -3 |