Atkin-Lehner |
2+ 5- 7- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
50050bc |
Isogeny class |
Conductor |
50050 |
Conductor |
∏ cp |
108 |
Product of Tamagawa factors cp |
deg |
207360 |
Modular degree for the optimal curve |
Δ |
-482212981250000 = -1 · 24 · 58 · 73 · 113 · 132 |
Discriminant |
Eigenvalues |
2+ 1 5- 7- 11- 13- -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-32201,2459548] |
[a1,a2,a3,a4,a6] |
Generators |
[127:586:1] |
Generators of the group modulo torsion |
j |
-9452623635625/1234465232 |
j-invariant |
L |
5.1594265832977 |
L(r)(E,1)/r! |
Ω |
0.50868821483617 |
Real period |
R |
0.84521756693852 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000016 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
50050bk1 |
Quadratic twists by: 5 |