Atkin-Lehner |
3+ 5- 13- 89- |
Signs for the Atkin-Lehner involutions |
Class |
86775j |
Isogeny class |
Conductor |
86775 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
3330000 |
Modular degree for the optimal curve |
Δ |
-8.9578347418782E+19 |
Discriminant |
Eigenvalues |
0 3+ 5- -4 4 13- 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-1837583,1062033818] |
[a1,a2,a3,a4,a6] |
j |
-1756729147170979840/229320569392083 |
j-invariant |
L |
1.8508706120846 |
L(r)(E,1)/r! |
Ω |
0.1850870406208 |
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 |
86775o1 |
Quadratic twists by: 5 |