Atkin-Lehner |
2- 3- 7+ 11- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
28182r |
Isogeny class |
Conductor |
28182 |
Conductor |
∏ cp |
136 |
Product of Tamagawa factors cp |
deg |
3368448 |
Modular degree for the optimal curve |
Δ |
-1.0098103360197E+23 |
Discriminant |
Eigenvalues |
2- 3- -1 7+ 11- 4 1 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-22202401,-43073585353] |
[a1,a2,a3,a4,a6] |
j |
-1210385019758699636277583249/100981033601971699276254 |
j-invariant |
L |
4.7069652533047 |
L(r)(E,1)/r! |
Ω |
0.034610038627234 |
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 |
84546e1 |
Quadratic twists by: -3 |