Atkin-Lehner |
3- 13+ 17- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
28509d |
Isogeny class |
Conductor |
28509 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
188160 |
Modular degree for the optimal curve |
Δ |
46255521911603121 = 33 · 1310 · 172 · 43 |
Discriminant |
Eigenvalues |
1 3- 2 -2 2 13+ 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-130755,-14981159] |
[a1,a2,a3,a4,a6] |
Generators |
[13419040:7637481:32768] |
Generators of the group modulo torsion |
j |
247225835165177910313/46255521911603121 |
j-invariant |
L |
8.5416368860908 |
L(r)(E,1)/r! |
Ω |
0.25431345861115 |
Real period |
R |
11.195680759142 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
85527a1 |
Quadratic twists by: -3 |