Atkin-Lehner |
2- 3+ 7- 11- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
28644i |
Isogeny class |
Conductor |
28644 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
26496 |
Modular degree for the optimal curve |
Δ |
-120610374192 = -1 · 24 · 33 · 74 · 112 · 312 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- 11- -2 4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,583,-16002] |
[a1,a2,a3,a4,a6] |
j |
1367301373952/7538148387 |
j-invariant |
L |
2.1015924810114 |
L(r)(E,1)/r! |
Ω |
0.52539812025271 |
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 |
114576bt1 85932be1 |
Quadratic twists by: -4 -3 |