Atkin-Lehner |
2- 3+ 5- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
50820j |
Isogeny class |
Conductor |
50820 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
3628800 |
Modular degree for the optimal curve |
Δ |
-2.8419096636884E+22 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 11- -4 5 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,744715,8106770817] |
[a1,a2,a3,a4,a6] |
j |
100715742101504/62663434246875 |
j-invariant |
L |
1.8414391239201 |
L(r)(E,1)/r! |
Ω |
0.092071956201709 |
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 |
4620g1 |
Quadratic twists by: -11 |