Atkin-Lehner |
2- 5+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
49600ci |
Isogeny class |
Conductor |
49600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
-5079040000000000 = -1 · 224 · 510 · 31 |
Discriminant |
Eigenvalues |
2- -2 5+ 0 2 0 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-105633,13616863] |
[a1,a2,a3,a4,a6] |
Generators |
[-127:5000:1] |
Generators of the group modulo torsion |
j |
-31824875809/1240000 |
j-invariant |
L |
3.5887279511415 |
L(r)(E,1)/r! |
Ω |
0.42813105245049 |
Real period |
R |
2.0955779373118 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999114 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
49600j1 12400x1 9920bh1 |
Quadratic twists by: -4 8 5 |