Atkin-Lehner |
2- 3+ 5- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
65520cj |
Isogeny class |
Conductor |
65520 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
258048 |
Modular degree for the optimal curve |
Δ |
-1413901556121600 = -1 · 226 · 33 · 52 · 74 · 13 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 0 13- 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,20973,-1380654] |
[a1,a2,a3,a4,a6] |
Generators |
[87:1050:1] |
Generators of the group modulo torsion |
j |
9225324907317/12784844800 |
j-invariant |
L |
7.2787587011949 |
L(r)(E,1)/r! |
Ω |
0.25516508268086 |
Real period |
R |
1.7828552952972 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998276 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8190c1 65520bz1 |
Quadratic twists by: -4 -3 |