Atkin-Lehner |
2- 3- 5- 11+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
28710bk |
Isogeny class |
Conductor |
28710 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
2177280 |
Modular degree for the optimal curve |
Δ |
-4.8953065069485E+21 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 11+ -5 -5 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,2168248,-3134479989] |
[a1,a2,a3,a4,a6] |
j |
1546404963542218051271/6715098089092546560 |
j-invariant |
L |
2.4893308333269 |
L(r)(E,1)/r! |
Ω |
0.069148078703515 |
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 |
9570b1 |
Quadratic twists by: -3 |