Atkin-Lehner |
5- 7- 17+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
120785i |
Isogeny class |
Conductor |
120785 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
86016 |
Modular degree for the optimal curve |
Δ |
290004785 = 5 · 76 · 17 · 29 |
Discriminant |
Eigenvalues |
-1 2 5- 7- -4 6 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-2500,-49148] |
[a1,a2,a3,a4,a6] |
Generators |
[119484:1393831:729] |
Generators of the group modulo torsion |
j |
14688124849/2465 |
j-invariant |
L |
6.5209300464372 |
L(r)(E,1)/r! |
Ω |
0.67517759340922 |
Real period |
R |
9.6580960517075 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999959058 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2465a1 |
Quadratic twists by: -7 |