Atkin-Lehner |
2- 3- 5+ 7+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
129780h |
Isogeny class |
Conductor |
129780 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
1267200 |
Modular degree for the optimal curve |
Δ |
154234624899237120 = 28 · 38 · 5 · 75 · 1033 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 4 1 7 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-136128,4085188] |
[a1,a2,a3,a4,a6] |
Generators |
[-172:4734:1] |
Generators of the group modulo torsion |
j |
1494853422678016/826445821005 |
j-invariant |
L |
6.9459103958699 |
L(r)(E,1)/r! |
Ω |
0.28161573511334 |
Real period |
R |
4.110749502445 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999105699 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
43260f1 |
Quadratic twists by: -3 |