Atkin-Lehner |
3- 5+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
50715w |
Isogeny class |
Conductor |
50715 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
1370880 |
Modular degree for the optimal curve |
Δ |
-5.3678717587439E+20 |
Discriminant |
Eigenvalues |
0 3- 5+ 7- 0 -4 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,316932,1112585584] |
[a1,a2,a3,a4,a6] |
j |
17096769536/2606718915 |
j-invariant |
L |
1.266925262559 |
L(r)(E,1)/r! |
Ω |
0.12669252630878 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16905i1 50715bi1 |
Quadratic twists by: -3 -7 |