Atkin-Lehner |
2- 5+ 17- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
50150bf |
Isogeny class |
Conductor |
50150 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
deg |
655200 |
Modular degree for the optimal curve |
Δ |
-46378720000000000 = -1 · 214 · 510 · 173 · 59 |
Discriminant |
Eigenvalues |
2- 0 5+ 2 4 -2 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1065430,-423147803] |
[a1,a2,a3,a4,a6] |
Generators |
[1193:1035:1] |
Generators of the group modulo torsion |
j |
-13696135709765625/4749180928 |
j-invariant |
L |
10.060428799656 |
L(r)(E,1)/r! |
Ω |
0.074298376990361 |
Real period |
R |
3.2239468578367 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999577 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
50150n1 |
Quadratic twists by: 5 |