Atkin-Lehner |
2- 3- 5- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
4260b |
Isogeny class |
Conductor |
4260 |
Conductor |
∏ cp |
22 |
Product of Tamagawa factors cp |
deg |
16896 |
Modular degree for the optimal curve |
Δ |
-7987500000000 = -1 · 28 · 32 · 511 · 71 |
Discriminant |
Eigenvalues |
2- 3- 5- 5 2 -3 -6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-55365,-5034537] |
[a1,a2,a3,a4,a6] |
j |
-73315787495243776/31201171875 |
j-invariant |
L |
3.4235105745416 |
L(r)(E,1)/r! |
Ω |
0.15561411702462 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17040r1 68160e1 12780d1 21300e1 |
Quadratic twists by: -4 8 -3 5 |