Atkin-Lehner |
2- 3+ 5- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
65520cl |
Isogeny class |
Conductor |
65520 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
Δ |
501522840000000000 = 212 · 39 · 510 · 72 · 13 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 6 13- 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-226827,23832954] |
[a1,a2,a3,a4,a6] |
Generators |
[103:1250:1] |
Generators of the group modulo torsion |
j |
16008724040427/6220703125 |
j-invariant |
L |
8.2092727749122 |
L(r)(E,1)/r! |
Ω |
0.26782794010471 |
Real period |
R |
1.5325646703225 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000387 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4095e2 65520cb2 |
Quadratic twists by: -4 -3 |