Atkin-Lehner |
2+ 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
63536g |
Isogeny class |
Conductor |
63536 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
1036800 |
Modular degree for the optimal curve |
Δ |
-3243106942596257792 = -1 · 211 · 116 · 197 |
Discriminant |
Eigenvalues |
2+ 1 2 3 11- 1 -7 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1874432,990931028] |
[a1,a2,a3,a4,a6] |
Generators |
[19884:-87362:27] |
Generators of the group modulo torsion |
j |
-7559297810066/33659659 |
j-invariant |
L |
9.642511208964 |
L(r)(E,1)/r! |
Ω |
0.2530368482034 |
Real period |
R |
0.79389880016785 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999907 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
31768e1 3344b1 |
Quadratic twists by: -4 -19 |