Atkin-Lehner |
2- 5- 7- 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
86450bu |
Isogeny class |
Conductor |
86450 |
Conductor |
∏ cp |
105 |
Product of Tamagawa factors cp |
deg |
1747200 |
Modular degree for the optimal curve |
Δ |
-2542689012500000 = -1 · 25 · 58 · 77 · 13 · 19 |
Discriminant |
Eigenvalues |
2- -3 5- 7- 6 13- 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-92055,-10997553] |
[a1,a2,a3,a4,a6] |
Generators |
[719:-17510:1] |
Generators of the group modulo torsion |
j |
-220852033067745/6509283872 |
j-invariant |
L |
6.9388946161288 |
L(r)(E,1)/r! |
Ω |
0.13680564271332 |
Real period |
R |
0.48305544427474 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000016589 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
86450e1 |
Quadratic twists by: 5 |