Atkin-Lehner |
2+ 3+ 5- 7+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
27090c |
Isogeny class |
Conductor |
27090 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1007616 |
Modular degree for the optimal curve |
Δ |
2061680115600 = 24 · 33 · 52 · 74 · 433 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ -4 -6 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-11931039,-15859293955] |
[a1,a2,a3,a4,a6] |
j |
6956563670721253403243883/76358522800 |
j-invariant |
L |
0.32493012525685 |
L(r)(E,1)/r! |
Ω |
0.081232531314191 |
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 |
27090bb1 |
Quadratic twists by: -3 |