Atkin-Lehner |
2- 3- 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
50820x |
Isogeny class |
Conductor |
50820 |
Conductor |
∏ cp |
252 |
Product of Tamagawa factors cp |
deg |
10886400 |
Modular degree for the optimal curve |
Δ |
-7.8621054576908E+23 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 11- 6 3 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-237668845,-1411008049057] |
[a1,a2,a3,a4,a6] |
j |
-3273741656681120014336/1733575611796875 |
j-invariant |
L |
4.8446593111528 |
L(r)(E,1)/r! |
Ω |
0.019224838537662 |
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 |
4620m1 |
Quadratic twists by: -11 |