Atkin-Lehner |
2- 5- 7- 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
113050db |
Isogeny class |
Conductor |
113050 |
Conductor |
∏ cp |
1800 |
Product of Tamagawa factors cp |
deg |
27648000 |
Modular degree for the optimal curve |
Δ |
1.005356095787E+23 |
Discriminant |
Eigenvalues |
2- -3 5- 7- -5 1 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-15196680,-16943344053] |
[a1,a2,a3,a4,a6] |
Generators |
[-24898:125495:8] [-1331:-29735:1] |
Generators of the group modulo torsion |
j |
993595935396676640625/257371160521474048 |
j-invariant |
L |
11.302247110604 |
L(r)(E,1)/r! |
Ω |
0.077931078139849 |
Real period |
R |
0.080571529605739 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000004787 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
113050f1 |
Quadratic twists by: 5 |