Atkin-Lehner |
2+ 5+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
28600g |
Isogeny class |
Conductor |
28600 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
156800 |
Modular degree for the optimal curve |
Δ |
-13173327596000000 = -1 · 28 · 56 · 117 · 132 |
Discriminant |
Eigenvalues |
2+ -1 5+ 2 11- 13- -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-72033,9290437] |
[a1,a2,a3,a4,a6] |
Generators |
[273:-3146:1] |
Generators of the group modulo torsion |
j |
-10333900063744/3293331899 |
j-invariant |
L |
4.5728794632592 |
L(r)(E,1)/r! |
Ω |
0.37656802676278 |
Real period |
R |
0.21684942969243 |
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 |
57200d1 1144d1 |
Quadratic twists by: -4 5 |