Atkin-Lehner |
2- 3- 7- 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
50778bq |
Isogeny class |
Conductor |
50778 |
Conductor |
∏ cp |
108 |
Product of Tamagawa factors cp |
deg |
9400320 |
Modular degree for the optimal curve |
Δ |
-1.1050031637802E+24 |
Discriminant |
Eigenvalues |
2- 3- -3 7- 5 13+ -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-15834614,-56085871611] |
[a1,a2,a3,a4,a6] |
Generators |
[11561:-1148565:1] |
Generators of the group modulo torsion |
j |
-602307957889310585083417/1515779374184046526464 |
j-invariant |
L |
7.9294681048006 |
L(r)(E,1)/r! |
Ω |
0.035237918547515 |
Real period |
R |
2.0835793939201 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000019 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16926k1 |
Quadratic twists by: -3 |