Atkin-Lehner |
2- 3+ 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
84216r |
Isogeny class |
Conductor |
84216 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
599808 |
Modular degree for the optimal curve |
Δ |
-13864279697123328 = -1 · 211 · 32 · 1110 · 29 |
Discriminant |
Eigenvalues |
2- 3+ -4 -2 11- 0 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4880,5668236] |
[a1,a2,a3,a4,a6] |
j |
-242/261 |
j-invariant |
L |
0.64003197430725 |
L(r)(E,1)/r! |
Ω |
0.32001593292667 |
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 |
84216d1 |
Quadratic twists by: -11 |