Atkin-Lehner |
2- 3- 5- 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
116550fx |
Isogeny class |
Conductor |
116550 |
Conductor |
∏ cp |
104 |
Product of Tamagawa factors cp |
deg |
20367360 |
Modular degree for the optimal curve |
Δ |
5.4618106628272E+23 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 4 5 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-21321680,-13098559053] |
[a1,a2,a3,a4,a6] |
j |
3764440119677265625/1918002098331648 |
j-invariant |
L |
7.7141619580537 |
L(r)(E,1)/r! |
Ω |
0.074174629687488 |
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 |
38850y1 116550bh1 |
Quadratic twists by: -3 5 |