Atkin-Lehner |
2- 3+ 5- 11+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
28710y |
Isogeny class |
Conductor |
28710 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
12672 |
Modular degree for the optimal curve |
Δ |
-125577540 = -1 · 22 · 39 · 5 · 11 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 5- -2 11+ -1 5 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2,-539] |
[a1,a2,a3,a4,a6] |
j |
-27/6380 |
j-invariant |
L |
3.3962827017874 |
L(r)(E,1)/r! |
Ω |
0.84907067544644 |
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 |
28710a1 |
Quadratic twists by: -3 |