Atkin-Lehner |
2- 3+ 17- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
28968i |
Isogeny class |
Conductor |
28968 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
101760 |
Modular degree for the optimal curve |
Δ |
-5496959337216 = -1 · 28 · 3 · 175 · 712 |
Discriminant |
Eigenvalues |
2- 3+ -3 2 3 5 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-43657,3527389] |
[a1,a2,a3,a4,a6] |
Generators |
[-57:2414:1] |
Generators of the group modulo torsion |
j |
-35946396545440768/21472497411 |
j-invariant |
L |
4.7194577258229 |
L(r)(E,1)/r! |
Ω |
0.75330822217903 |
Real period |
R |
0.31324878627843 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
57936j1 86904e1 |
Quadratic twists by: -4 -3 |