Atkin-Lehner |
2- 3- 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
65520dd |
Isogeny class |
Conductor |
65520 |
Conductor |
∏ cp |
512 |
Product of Tamagawa factors cp |
Δ |
-15357280225996800 = -1 · 212 · 37 · 52 · 74 · 134 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 4 13- 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,32757,-5508358] |
[a1,a2,a3,a4,a6] |
Generators |
[157:1872:1] |
Generators of the group modulo torsion |
j |
1301812981559/5143122075 |
j-invariant |
L |
6.6337366165158 |
L(r)(E,1)/r! |
Ω |
0.19943891518529 |
Real period |
R |
1.0394374090387 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000213 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
4095h4 21840bp3 |
Quadratic twists by: -4 -3 |