Atkin-Lehner |
2+ 3+ 7- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
85848c |
Isogeny class |
Conductor |
85848 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
599040 |
Modular degree for the optimal curve |
Δ |
-98148893579670528 = -1 · 210 · 313 · 77 · 73 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7- 4 -1 -2 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,85832,-11583620] |
[a1,a2,a3,a4,a6] |
j |
580467825500/814699053 |
j-invariant |
L |
1.4325967624169 |
L(r)(E,1)/r! |
Ω |
0.17907459309257 |
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 |
12264d1 |
Quadratic twists by: -7 |