Atkin-Lehner |
2+ 3- 5+ 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
65520p |
Isogeny class |
Conductor |
65520 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
65536 |
Modular degree for the optimal curve |
Δ |
262129271040 = 28 · 38 · 5 · 74 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 0 13- 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2343,36038] |
[a1,a2,a3,a4,a6] |
Generators |
[73:504:1] |
Generators of the group modulo torsion |
j |
7622072656/1404585 |
j-invariant |
L |
4.8591510584935 |
L(r)(E,1)/r! |
Ω |
0.9337340319595 |
Real period |
R |
2.6019995482887 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999994497 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
32760k1 21840g1 |
Quadratic twists by: -4 -3 |