Atkin-Lehner |
2- 3- 5+ 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
53550dn |
Isogeny class |
Conductor |
53550 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
196608 |
Modular degree for the optimal curve |
Δ |
-121993593750000 = -1 · 24 · 38 · 510 · 7 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -4 2 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2480,534147] |
[a1,a2,a3,a4,a6] |
Generators |
[-61:705:1] |
Generators of the group modulo torsion |
j |
-148035889/10710000 |
j-invariant |
L |
9.1293783200587 |
L(r)(E,1)/r! |
Ω |
0.48544954997016 |
Real period |
R |
1.1753768131838 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999689 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17850f1 10710o1 |
Quadratic twists by: -3 5 |