Atkin-Lehner |
2- 3+ 5- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
49980i |
Isogeny class |
Conductor |
49980 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
282240 |
Modular degree for the optimal curve |
Δ |
-9244453330963200 = -1 · 28 · 3 · 52 · 78 · 174 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 0 3 17+ 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-40245,5586225] |
[a1,a2,a3,a4,a6] |
Generators |
[-145:2890:1] |
Generators of the group modulo torsion |
j |
-4884791296/6264075 |
j-invariant |
L |
5.5971270161997 |
L(r)(E,1)/r! |
Ω |
0.3705634481611 |
Real period |
R |
1.2586974070573 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999871 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
49980w1 |
Quadratic twists by: -7 |