Atkin-Lehner |
2- 3- 7+ 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
27132d |
Isogeny class |
Conductor |
27132 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
1330560 |
Modular degree for the optimal curve |
Δ |
1.8422257047654E+20 |
Discriminant |
Eigenvalues |
2- 3- 3 7+ -2 7 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1587629,407401119] |
[a1,a2,a3,a4,a6] |
j |
1728745609175292977152/719619415923990141 |
j-invariant |
L |
4.5558029414852 |
L(r)(E,1)/r! |
Ω |
0.16270724791018 |
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 |
108528t1 81396k1 |
Quadratic twists by: -4 -3 |