Atkin-Lehner |
2- 5+ 7+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
129430m |
Isogeny class |
Conductor |
129430 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
1182720 |
Modular degree for the optimal curve |
Δ |
-1522184222199200 = -1 · 25 · 52 · 7 · 437 |
Discriminant |
Eigenvalues |
2- 1 5+ 7+ 3 6 -4 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-263521,-52123799] |
[a1,a2,a3,a4,a6] |
Generators |
[17832:203719:27] |
Generators of the group modulo torsion |
j |
-320153881321/240800 |
j-invariant |
L |
12.643338119706 |
L(r)(E,1)/r! |
Ω |
0.10535281717841 |
Real period |
R |
3.0002373215542 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999671962 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3010c1 |
Quadratic twists by: -43 |