Atkin-Lehner |
2- 3+ 5- 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
53040bz |
Isogeny class |
Conductor |
53040 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
40510679040000 = 214 · 34 · 54 · 132 · 172 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 0 13- 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-58960,5521600] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:2448:1] |
Generators of the group modulo torsion |
j |
5534056064805841/9890302500 |
j-invariant |
L |
5.8087231492726 |
L(r)(E,1)/r! |
Ω |
0.64536074680847 |
Real period |
R |
1.12509227939 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000048 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
6630ba2 |
Quadratic twists by: -4 |