Atkin-Lehner |
2- 3- 5- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
84270bq |
Isogeny class |
Conductor |
84270 |
Conductor |
∏ cp |
216 |
Product of Tamagawa factors cp |
deg |
4852224 |
Modular degree for the optimal curve |
Δ |
-2.0786184700297E+20 |
Discriminant |
Eigenvalues |
2- 3- 5- 4 2 6 -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-2313270,1521339300] |
[a1,a2,a3,a4,a6] |
j |
-61765716432889/9378201600 |
j-invariant |
L |
9.2818382405309 |
L(r)(E,1)/r! |
Ω |
0.17188589453437 |
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 |
1590d1 |
Quadratic twists by: 53 |