Atkin-Lehner |
3- 5- 19+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
50445d |
Isogeny class |
Conductor |
50445 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
299520 |
Modular degree for the optimal curve |
Δ |
-90978345703125 = -1 · 37 · 59 · 192 · 59 |
Discriminant |
Eigenvalues |
-1 3- 5- 1 2 -1 5 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-570317,165919434] |
[a1,a2,a3,a4,a6] |
Generators |
[92:10641:1] |
Generators of the group modulo torsion |
j |
-28141317208833765769/124798828125 |
j-invariant |
L |
4.6556263119358 |
L(r)(E,1)/r! |
Ω |
0.53180909217187 |
Real period |
R |
0.12158776054444 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000049 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16815a1 |
Quadratic twists by: -3 |