Atkin-Lehner |
2- 3+ 5+ 11+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
81840bn |
Isogeny class |
Conductor |
81840 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
-271904560052400 = -1 · 24 · 312 · 52 · 113 · 312 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 11+ -4 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,3559,-790320] |
[a1,a2,a3,a4,a6] |
j |
311505458118656/16994035003275 |
j-invariant |
L |
0.5264103036593 |
L(r)(E,1)/r! |
Ω |
0.26320515324631 |
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 |
20460i1 |
Quadratic twists by: -4 |