Atkin-Lehner |
2- 3+ 7- 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
84084j |
Isogeny class |
Conductor |
84084 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
53286912 |
Modular degree for the optimal curve |
Δ |
-6.9085516881088E+27 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- 11+ 13- 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,348125531,-3121281656870] |
[a1,a2,a3,a4,a6] |
j |
2478695127147994831388672/3670107527533613193027 |
j-invariant |
L |
0.089077350132651 |
L(r)(E,1)/r! |
Ω |
0.022269327534701 |
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 |
12012d1 |
Quadratic twists by: -7 |