Atkin-Lehner |
2- 7- 11- 47- |
Signs for the Atkin-Lehner involutions |
Class |
50666r |
Isogeny class |
Conductor |
50666 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
60480 |
Modular degree for the optimal curve |
Δ |
-62284321792 = -1 · 210 · 76 · 11 · 47 |
Discriminant |
Eigenvalues |
2- 2 2 7- 11- -1 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,538,-10781] |
[a1,a2,a3,a4,a6] |
Generators |
[29:159:1] |
Generators of the group modulo torsion |
j |
146363183/529408 |
j-invariant |
L |
15.450000471448 |
L(r)(E,1)/r! |
Ω |
0.5629930484498 |
Real period |
R |
2.7442613215119 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000026 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1034c1 |
Quadratic twists by: -7 |