Atkin-Lehner |
2- 5- 17+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
50150bo |
Isogeny class |
Conductor |
50150 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
19200 |
Modular degree for the optimal curve |
Δ |
-341020000 = -1 · 25 · 54 · 172 · 59 |
Discriminant |
Eigenvalues |
2- 0 5- -3 -3 1 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,170,197] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:5:1] [5:-37:1] |
Generators of the group modulo torsion |
j |
874144575/545632 |
j-invariant |
L |
12.441067908603 |
L(r)(E,1)/r! |
Ω |
1.0580245091367 |
Real period |
R |
0.39195903312148 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
50150l1 |
Quadratic twists by: 5 |