Atkin-Lehner |
2- 3- 7- 13- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
50778bt |
Isogeny class |
Conductor |
50778 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
-2.7218242519213E+19 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 2 13- -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1115420,-517987029] |
[a1,a2,a3,a4,a6] |
Generators |
[2945:145947:1] |
Generators of the group modulo torsion |
j |
-210528599188783317625/37336409491376268 |
j-invariant |
L |
9.9867130147518 |
L(r)(E,1)/r! |
Ω |
0.072750232819021 |
Real period |
R |
2.1449057248149 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000023 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16926n2 |
Quadratic twists by: -3 |