Atkin-Lehner |
3- 5- 7+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
83475bk |
Isogeny class |
Conductor |
83475 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
2611200 |
Modular degree for the optimal curve |
Δ |
1.0698875756666E+19 |
Discriminant |
Eigenvalues |
1 3- 5- 7+ -4 -4 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3073617,-2067319584] |
[a1,a2,a3,a4,a6] |
j |
2255357919036221/7514162397 |
j-invariant |
L |
0.45617770713775 |
L(r)(E,1)/r! |
Ω |
0.11404443829575 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
27825u1 83475bo1 |
Quadratic twists by: -3 5 |