Atkin-Lehner |
2- 3+ 5- 53- |
Signs for the Atkin-Lehner involutions |
Class |
84270bh |
Isogeny class |
Conductor |
84270 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3205440 |
Modular degree for the optimal curve |
Δ |
1.3616194292965E+19 |
Discriminant |
Eigenvalues |
2- 3+ 5- -2 -5 3 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-2397540,1416812697] |
[a1,a2,a3,a4,a6] |
j |
24480165601/218700 |
j-invariant |
L |
0.89792619870121 |
L(r)(E,1)/r! |
Ω |
0.22448154571655 |
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 |
84270i1 |
Quadratic twists by: 53 |