Atkin-Lehner |
2- 3+ 5- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
49980o |
Isogeny class |
Conductor |
49980 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
165888 |
Modular degree for the optimal curve |
Δ |
-680139062109360 = -1 · 24 · 36 · 5 · 79 · 172 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 0 -2 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,20515,-550290] |
[a1,a2,a3,a4,a6] |
Generators |
[502:11662:1] |
Generators of the group modulo torsion |
j |
507234615296/361317915 |
j-invariant |
L |
5.2962366655875 |
L(r)(E,1)/r! |
Ω |
0.28716582256082 |
Real period |
R |
1.5369275198921 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999874 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7140i1 |
Quadratic twists by: -7 |