Atkin-Lehner |
2+ 5- 17- 53- |
Signs for the Atkin-Lehner involutions |
Class |
72080b |
Isogeny class |
Conductor |
72080 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
-3541290400000000 = -1 · 211 · 58 · 174 · 53 |
Discriminant |
Eigenvalues |
2+ 0 5- 4 4 -2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-57947,6084714] |
[a1,a2,a3,a4,a6] |
j |
-10507191081324642/1729145703125 |
j-invariant |
L |
3.4260378532123 |
L(r)(E,1)/r! |
Ω |
0.42825473180381 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
36040c3 |
Quadratic twists by: -4 |