Atkin-Lehner |
2+ 3+ 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
81120k |
Isogeny class |
Conductor |
81120 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
967680 |
Modular degree for the optimal curve |
Δ |
-1058881224375000000 = -1 · 26 · 33 · 510 · 137 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 2 0 13+ 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-332310,88923600] |
[a1,a2,a3,a4,a6] |
j |
-13137573612736/3427734375 |
j-invariant |
L |
2.6285989621489 |
L(r)(E,1)/r! |
Ω |
0.26285989526727 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
81120w1 6240v1 |
Quadratic twists by: -4 13 |