Atkin-Lehner |
2+ 3- 5- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
65520bp |
Isogeny class |
Conductor |
65520 |
Conductor |
∏ cp |
512 |
Product of Tamagawa factors cp |
Δ |
266225040900000000 = 28 · 38 · 58 · 74 · 132 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 0 13- 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1194807,502070294] |
[a1,a2,a3,a4,a6] |
Generators |
[838:-9450:1] |
Generators of the group modulo torsion |
j |
1010763367143985744/1426531640625 |
j-invariant |
L |
7.9316015262353 |
L(r)(E,1)/r! |
Ω |
0.30959721946984 |
Real period |
R |
0.80059681458857 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999992664 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
32760r2 21840d2 |
Quadratic twists by: -4 -3 |