Atkin-Lehner |
5+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
50575v |
Isogeny class |
Conductor |
50575 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2115072 |
Modular degree for the optimal curve |
Δ |
2.9803651176147E+20 |
Discriminant |
Eigenvalues |
-1 -1 5+ 7- -6 6 17- -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1824463,-458808594] |
[a1,a2,a3,a4,a6] |
Generators |
[-1146:11913:1] |
Generators of the group modulo torsion |
j |
6161940649/2734375 |
j-invariant |
L |
1.9912653861854 |
L(r)(E,1)/r! |
Ω |
0.1353535803832 |
Real period |
R |
7.3557913303201 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998206 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10115c1 50575c1 |
Quadratic twists by: 5 17 |