Atkin-Lehner |
2- 5+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
12200h |
Isogeny class |
Conductor |
12200 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
354816 |
Modular degree for the optimal curve |
Δ |
1.0062573117383E+21 |
Discriminant |
Eigenvalues |
2- 0 5+ -2 4 2 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2542550,325166125] |
[a1,a2,a3,a4,a6] |
j |
7270967611425540096/4025029246953125 |
j-invariant |
L |
2.1663920453692 |
L(r)(E,1)/r! |
Ω |
0.13539950283558 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24400b1 97600l1 109800o1 2440b1 |
Quadratic twists by: -4 8 -3 5 |